🔗 Problem

Problem: A child builds a sandcastle in a sandbox. The sandbox has the shape of a cubic box with 512 cubic feet of sand. What is the length of each side of the sandbox in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume of the sandbox is 512 cubic feet, we have \( \text{side length}^3 = 512 \). Taking the cube root of both sides, we find that the side length is \( \sqrt[3]{512} = 8 \) feet.
    ### Answer: 8.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: An artisan carves a cubic fireplace out of stone, which has a volume of 729 cubic feet. What is the length of each side of the fireplace in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the fireplace is 729 cubic feet, we have 729 = s^3. Taking the cube root of both sides, we find s = 9 feet.
    ### Answer: 9 feet.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A farmer has a large cubical barn with a volume of 1000 cubic meters. What is the length of each side of the barn in meters?

GPT-3.5 Turbo:

    Reasoning: Since the barn is cubical, all sides are equal in length. Let's denote the length of each side as x. The volume of a cube is given by the formula V = x^3. Given that the volume of the barn is 1000 cubic meters, we have:

    x^3 = 1000

    Taking the cube root of both sides, we get:

    x = 10

    Therefore, the length of each side of the barn is 10 meters.
    ### Answer: 10.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A giraffe's tank in the zoo is in a cubic shape in order to facilitate its movement. The volume of the tank is 512 m^3. If all sides of the tank are equal in size, what is the size of one side of the tank in meters?

GPT-3.5 Turbo:

    Reasoning: Since the tank is in a cubic shape, all sides are equal in size. Let's denote the length of one side as x. The volume of a cube is given by the formula V = x^3. Given that the volume of the tank is 512 m^3, we have:

    x^3 = 512

    Taking the cube root of both sides, we get:

    x = ∛512
    x = 8

    Therefore, the size of one side of the tank is 8 meters.
    ### Answer: 8 meters.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A mountain has a cuboidal shape and its volume is 64 km^3. If all of the sides of this cuboid are of equal length, what is the length of each side in kilometers?

GPT-3.5 Turbo:

    Given that the volume of the cuboid is 64 km³ and all sides are of equal length, let's denote the length of each side as x km. The volume of a cuboid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Since all sides are equal, we have l = w = h = x.

    Therefore, the volume of the cuboid can be expressed as x³ = 64. Solving for x, we find x = 4 km.

    ### Answer: 4 km.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There's a large crater on the moon that has a cubic shape and a volume of 512 cubic kilometers. What is the length of each edge of this crater in kilometers?

GPT-3.5 Turbo:

    Reasoning: Since the crater has a cubic shape, the length of each edge can be found by taking the cube root of the volume.
    The length of each edge is the cube root of 512, which is 8.
    ### Answer: 8 kilometers.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A baby is playing with blocks, assembling them to build a larger cube structure. If the total number of blocks is 343, what is the length (represented in blocks) of one side of the cube?

GPT-3.5 Turbo:

    Reasoning: The cube root of 343 is 7, since 7 x 7 x 7 = 343.
    Therefore, the length of one side of the cube is <<7>>7 blocks.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: An alien in a UFO spies a cubic container with a mysterious substance on earth. The volume of the substance is 512 cubic feet. The alien wonders, what is the length of one side of the cubic container in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of one side of the cube. Given that the volume is 512 cubic feet, we have 512 = s^3. Taking the cube root of both sides, we find s = 8 feet.

    ### Answer: The length of one side of the cubic container is 8 feet.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A pencil manufacturer makes pencil-eraser cubes and the volume of each cube is found to be 512 mm^3. What is the edge length of each eraser cube?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 512 mm^3, we have:

    512 = s^3

    Taking the cube root of both sides to solve for s:

    s = ∛512
    s = 8 mm

    Therefore, the edge length of each eraser cube is 8 mm.
    ### Answer: 8 mm.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: The letter G in a certain font uses a cube as a model for its design. If the volume of this cubic model is 8 cubic cm, what is the length of each side of the cube in cm?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 8 cubic cm, we have:

    8 = s^3

    Taking the cube root of both sides, we find:

    s = 2 cm

    Therefore, the length of each side of the cube is 2 cm.
    ### Answer: 2 cm.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A shark's territory within the ocean is allotted in the shape of a cube with a volume of 27 cubic kilometers. Can you calculate the length in kilometers of one edge of this cube?

GPT-3.5 Turbo:

    Given that the volume of a cube is calculated as side length cubed, we can find the length of one edge of the cube by taking the cube root of the volume. Therefore, the length of one edge of the cube is the cube root of 27 cubic kilometers, which is 3 kilometers.

    ### Answer: 3 kilometers.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A deck of cards is designed in a cubic box. The volume of the box is 1 cubic inch. What is the length of each side of the box in inches?

GPT-3.5 Turbo:

    Given that the volume of the box is 1 cubic inch, and the box is cubic, we can find the length of each side by taking the cube root of the volume.

    Let \( s \) be the length of each side of the box in inches. Then, the volume of the box is \( s^3 = 1 \).

    Taking the cube root of both sides, we get \( s = \sqrt[3]{1} = 1 \).

    Therefore, the length of each side of the box is 1 inch.
    ### Answer: 1 inch.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A unique type of flower grows in the shape of a cube. Each cubic centimeter of this flower holds 1 milliliter of nectar. If a particular flower holds 125 milliliters of nectar, what is the length of one side of this cubic flower in centimeters?

GPT-3.5 Turbo:

    Reasoning: Since each cubic centimeter holds 1 milliliter of nectar, the volume of the flower is 125 cubic centimeters. The volume of a cube is given by the formula \(V = s^3\), where \(s\) is the length of one side of the cube. So, \(s^3 = 125\), and solving for \(s\) gives \(s = \sqrt[3]{125} = 5\).
    ### Answer: \(s = 5\) centimeters.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: In a forest, the volume of a cubical tree stump was found to be 125 cubic meters. What is the length of one side of the tree stump?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume of the tree stump is 125 cubic meters, we have \( \text{side length}^3 = 125 \). Taking the cube root of both sides, we find that the side length is \( \sqrt[3]{125} = 5 \) meters.

    ### Answer: 5 meters.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A jeweler is designing a bracelet in the shape of a cube. The volume of the bracelet is 1000 cubic millimeters. What is the length of each edge of the bracelet in millimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge. Given that the volume is 1000 cubic millimeters, we have 1000 = s^3. Taking the cube root of both sides, we get s = 10.
    ### Answer: The length of each edge of the bracelet is 10 millimeters.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A bar of soap is in the shape of a cube. If its volume is 1 cubic cm, what is the length of each side of the soap in cm?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{Side Length}^3 \).
    Given that the volume is 1 cubic cm, we have \( 1 = \text{Side Length}^3 \).
    Taking the cube root of both sides, we find \( \text{Side Length} = 1 \) cm.
    ### Answer: 1 cm.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A forest ranger discovered a rare cubic yew tree with a volume of 216 cubic meters. What is the length of each edge of this yew tree in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge. Given that the volume of the yew tree is 216 cubic meters, we have 216 = s^3. Taking the cube root of both sides, we find s = 6 meters.

    ### Answer: The length of each edge of the yew tree is 6 meters.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A blanket is folded in a perfect cube shape and has a volume of 1000 cubic cm. What is the length of each side of the blanket in centimeters?

GPT-3.5 Turbo:

    Reasoning: Since the blanket is folded in a perfect cube shape, the volume of the cube is equal to the length of one side cubed. So, if the volume is 1000 cubic cm, then the length of each side is the cube root of 1000.
    Therefore, the length of each side of the blanket is \( \sqrt[3]{1000} = 10 \) cm.
    ### Answer: 10 cm.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A toy train is positioned inside a box, which is a cube. The volume of the box is 125 cubic centimeters. What is the length of each side of the box in centimeters?

GPT-3.5 Turbo:

    Reasoning: Since the box is a cube, all sides are equal in length. Let's denote the length of each side as x. The volume of a cube is given by the formula V = x^3. Given that the volume of the box is 125 cubic centimeters, we have:

    x^3 = 125

    Taking the cube root of both sides, we get:

    x = ∛125
    x = 5

    Therefore, the length of each side of the box is 5 centimeters.
    ### Answer: 5.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A perfume bottle is shaped like a cube and it has a volume of 125 cubic centimeters. What is the length of each side of the bottle in centimeters?

GPT-3.5 Turbo:

    Reasoning: Since the perfume bottle is shaped like a cube, the volume of the cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume is 125 cubic centimeters, we have:

    125 = s^3

    Taking the cube root of both sides, we find:

    s = 5

    Therefore, the length of each side of the bottle is 5 centimeters.
    ### Answer: 5 cm.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A pencil-shaped building has a cuboidal structure. The building has a uniform cross-sectional area all along its height. When the volume of the building is calculated, it comes out to be 216 cubic meters. If the building height, width and depth are all equal, what is the length in meters of one side?

GPT-3.5 Turbo:

    Given that the volume of the building is 216 cubic meters and all sides are equal, we can express the volume as \(x^3 = 216\), where \(x\) is the length of one side.
    Solving for \(x\):
    \(x^3 = 216\)
    \(x = \sqrt[3]{216}\)
    \(x = 6\)
    Therefore, the length of one side is 6 meters.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A chair is designed in the shape of a cube, and its volume is 343 cubic feet. What is the length of each side of the chair in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( V = s^3 \), where \( V \) is the volume and \( s \) is the length of each side. Given that the volume of the chair is 343 cubic feet, we have:

    \[ 343 = s^3 \]

    Taking the cube root of both sides, we find:

    \[ s = \sqrt[3]{343} = 7 \]

    Therefore, the length of each side of the chair is 7 feet.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A roller skate company designs a new line of cubes that will go on the end of each skate. The volume of each cube is calculated to be 729 cubic inches. What is the length, in inches, of a side of each cube?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \(V = s^3\), where \(s\) is the length of a side of the cube. Given that the volume of each cube is 729 cubic inches, we have:

    \[729 = s^3\]

    Taking the cube root of both sides, we find:

    \[s = \sqrt[3]{729} = 9\]

    Therefore, the length of a side of each cube is 9 inches.
    ### Answer: 9 inches.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: An alien species uses cubical spaceships for traveling. The volume of one of these spaceships is 8 cubic miles. What is the length in miles of each edge of the spaceship?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge. Given that the volume of the spaceship is 8 cubic miles, we have 8 = s^3. Taking the cube root of both sides, we find s = 2 miles.

    ### Answer: 2 miles.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A strawberry farmer builds a cube-shaped cold storage unit for his strawberries. The cold storage has a volume of 343 cubic feet. What is the length of each side of the storage unit in feet?

GPT-3.5 Turbo:

    Reasoning: Since the cold storage unit is cube-shaped, all sides are equal in length. Let's denote the length of each side as \( s \) feet. The volume of a cube is given by \( s^3 \). Given that the volume of the cold storage unit is 343 cubic feet, we have the equation \( s^3 = 343 \). Taking the cube root of both sides, we find \( s = \sqrt[3]{343} = 7 \) feet.

    ### Answer: 7 feet.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The volume of the compass cube is 8 cubic inches. What is the length of the edge of the compass cube in inches?

GPT-3.5 Turbo:

    Reasoning: Let the length of the edge of the compass cube be x inches. The volume of a cube is given by the formula V = x^3. Given that the volume is 8 cubic inches, we have:

    x^3 = 8
    Taking the cube root of both sides, we get:
    x = 2 inches

    ### Answer: 2 inches.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A potato farmer has a unique farm and prefers to grow his potatoes in cubic plots. One plot has a volume that measures 729 cubic meters. What is the length of each side of the plot in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume of the plot is 729 cubic meters, we can set up the equation \( 729 = \text{side length}^3 \) and solve for the side length.

    Taking the cube root of both sides, we get \( \text{side length} = \sqrt[3]{729} = 9 \) meters.

    ### Answer: 9 meters.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A slide in the amusement park has a cuboid shape. The volume of this slide is given as 1000 cubic feet. If the slide has the same length, width, and height, what is the length of one side of the slide in feet?

GPT-3.5 Turbo:

    Given that the volume of the cuboid slide is 1000 cubic feet and all sides are equal, we can express the volume as \( \text{side}^3 = 1000 \). Solving for the side length, we get \( \text{side} = \sqrt[3]{1000} = 10 \) feet.

    ### Answer: 10 feet.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A zookeeper is building a new play cube for the monkeys. The volume of the cube is huge - exactly 512 cubic feet! The zookeeper wants all sides of the play cube to be of equal length. What is the length of each side of the play cube in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 512 cubic feet, we have:

    512 = s^3

    Taking the cube root of both sides to solve for s, we get:

    s = ∛512
    s = 8

    Therefore, each side of the play cube is 8 feet long.
    ### Answer: 8 feet.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A magical hat inflates into the shape of a perfect cube. When fully inflated, its volume measures 27 cubic centimeters. Can you figure out the length of one edge of the hat when it is fully inflated?

GPT-3.5 Turbo:

    Given that the volume of the cube is 27 cubic centimeters, we can find the length of one edge by taking the cube root of the volume.
    The formula for the volume of a cube is V = s^3, where s is the length of one edge.
    Taking the cube root of 27, we get s = 3.
    ### Answer: The length of one edge of the cube is 3 centimeters.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A grape farmer is packing his grapes into cube-shaped containers. If one such container holds 27 grapes, how many grapes does each side of the cube hold?

GPT-3.5 Turbo:

    Reasoning: Since the container is cube-shaped, the number of grapes it holds is equal to the volume of the cube. If one container holds 27 grapes, then the volume of the cube is 27. The volume of a cube is given by the formula side^3, where side is the length of each side of the cube. Therefore, side^3 = 27. Taking the cube root of both sides, we get side = 3.
    ### Answer: Each side of the cube holds 3 grapes.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A truck driver transports cargo in a big cube-shaped container. He knows that the volume of the container is given as 216 cubic meters. Can you help him find out the length of one side of the cube container?

GPT-3.5 Turbo:

    Sure! The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube. Given that the volume of the container is 216 cubic meters, we have:

    216 = s^3

    To find the length of one side, we need to take the cube root of both sides:

    s = ∛216
    s = 6

    Therefore, the length of one side of the cube container is 6 meters.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A cube-shaped bracelet charm has a volume of 64 mm^3. What is the length of each edge of the cube charm in millimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge.
    Given that V = 64 mm^3, we have 64 = s^3.
    Taking the cube root of both sides, we get s = 4 mm.
    ### Answer: 4 mm.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: If a number is cubed and the result is 64, what is the number?

GPT-3.5 Turbo:

    Reasoning: Let the number be \(x\). We are given that \(x^3 = 64\). Taking the cube root of both sides, we get \(x = \sqrt[3]{64} = 4\).

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Your petite mug is perfect for hot chocolate and has a cubic shape, accommodating comfy 1 liter of hot drink. Can you tell me, how long, in liters, is each side of the petite mug?

GPT-3.5 Turbo:

    Reasoning: Since the mug has a cubic shape and can hold 1 liter of hot chocolate, each side of the mug must be the cube root of 1 liter. The cube root of 1 liter is 1, so each side of the petite mug is 1 liter long.
    ### Answer: 1.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: The volume of a cube-shaped blanket is 343 cubic inches when fully fluffed. What is the length of one side of this fluffed blanket in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume is 343 cubic inches, we have \( \text{side length}^3 = 343 \). Taking the cube root of both sides, we find \( \text{side length} = \sqrt[3]{343} = 7 \) inches.
    ### Answer: 7 inches.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A Penguin has stacked ice cubes in a specific way to form a larger perfect cube. The volume of the larger cube made up of smaller cubes is 729 cubic cm. If each side of the smaller ice cube is the same length in cm, what is that length?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{Side Length}^3 \). Given that the volume of the larger cube is 729 cubic cm, we need to find the side length of each smaller cube. Since \( \text{Volume} = \text{Side Length}^3 \), we have \( 729 = \text{Side Length}^3 \). Taking the cube root of both sides, we get \( \text{Side Length} = \sqrt[3]{729} = 9 \) cm.

    ### Answer: 9 cm.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A kid on a scooter notices that his new scooter wheel, which has a cubic shape, has a volume of 216 cubic cm. What is the length of each side of the wheel in cm?

GPT-3.5 Turbo:

    Given that the volume of the cubic wheel is 216 cubic cm, we need to find the length of each side of the cube. Since the volume of a cube is given by the formula V = s^3, where s is the length of each side, we can set up the equation as follows:

    216 = s^3

    Taking the cube root of both sides to solve for s, we get:

    s = 6

    Therefore, the length of each side of the wheel is 6 cm.
    ### Answer: 6 cm.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A butterfly places an egg in a cubic flower bud. The volume of the bud is 216 cubic millimeters. What length, in millimeters, is each edge of this flower bud?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge. Given that the volume of the flower bud is 216 cubic millimeters, we have:

    216 = s^3

    Taking the cube root of both sides, we find:

    s = 6

    Therefore, each edge of the flower bud is 6 millimeters long.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A snail carries a shell that is shaped like a cube. The volume of the shell is 27 cm^3. What is the length of each side of the snail's cubical shell in centimeters?

GPT-3.5 Turbo:

    Given that the volume of the cube is 27 cm^3, we know that the volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube.

    Given V = 27 cm^3, we can set up the equation 27 = s^3.

    Taking the cube root of both sides, we get s = 3 cm.

    Therefore, the length of each side of the snail's cubical shell is 3 cm.
    ### Answer: 3 cm.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: For a party, a giant cubic party balloon is being used. If the volume of the balloon is 27 cubic feet, what is the length of one side of the balloon in feet?

GPT-3.5 Turbo:

    Reasoning: Since the balloon is a cube, the volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube.
    Given that the volume of the balloon is 27 cubic feet, we have:
    27 = s^3
    Taking the cube root of both sides, we get:
    s = 3 feet
    ### Answer: 3 feet.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A firefighter is pumping water out of a cubic tank to fight a fire. If the tank has a volume of 216 cubic feet, what is the length of one edge of the tank in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one edge of the cube. Given that the volume of the tank is 216 cubic feet, we have 216 = s^3. Taking the cube root of both sides, we find s = 6.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: You have a cube-shaped box of cards with a volume of 216 cubic inches. What is the length of one side of the box in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube. Given that the volume is 216 cubic inches, we have:

    216 = s^3

    Taking the cube root of both sides, we get:

    s = 6

    Therefore, the length of one side of the cube is 6 inches.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A designer is making a cube-shaped pocket for a skirt. She needs 125 cubic inches of fabric to create this uniquely shaped pocket. What is the length in inches of each edge of the pocket?

GPT-3.5 Turbo:

    Reasoning: Since the pocket is cube-shaped, all sides are equal in length. Let's denote the length of each edge as x inches. The volume of a cube is given by V = x^3. We are given that V = 125 cubic inches. Therefore, we have the equation x^3 = 125. Taking the cube root of both sides, we get x = 5 inches.

    ### Answer: The length of each edge of the pocket is 5 inches.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A gardener arranged her flowers in a cube shape for an exhibition. The total number of flowers used was 125. What is the length of each side of the flower cube?

GPT-3.5 Turbo:

    Reasoning: Let the length of each side of the cube be x. The total number of flowers used is equal to the volume of the cube, which is x^3. So, x^3 = 125. Taking the cube root of both sides gives x = 5.
    ### Answer: 5.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A farmer grows cucumbers in the shape of a perfect cube for a special contest. One of his cucumbers has a volume of 1000 cubic centimeters. What is the length in centimeters of a side of this cubic cucumber?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of a side.
    Given that the volume of the cucumber is 1000 cubic centimeters, we have:
    1000 = s^3
    Taking the cube root of both sides, we get:
    s = 10
    Therefore, the length of a side of the cubic cucumber is 10 centimeters.
    ### Answer: 10 cm.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A small airplane has a cargo hold whose volume is 27 cubic meters, and all sides of the hold have equal length. What is the length in meters of one side of this cargo hold?

GPT-3.5 Turbo:

    Reasoning: Since all sides of the cargo hold have equal length, we can represent the length of one side as \(x\). The volume of a cube is given by \(x^3\), so we have \(x^3 = 27\). Solving for \(x\), we find \(x = \sqrt[3]{27} = 3\).
    ### Answer: 3.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A cucumber farmer is experimenting with a new variety of cucumbers that grow in a perfect cubic shape. One of these cubic cucumbers has a volume of 216 cubic centimeters. What is the length of each side of this cubic cucumber in centimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 216 cubic centimeters, we have:

    216 = s^3

    Taking the cube root of both sides to solve for s, we get:

    s = 6

    Therefore, the length of each side of the cubic cucumber is 6 centimeters.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A skateboard company designs a cubic box to ship its skateboards. If the volume of the box is 729 cubic feet, what is the length of one edge of the box (in feet)?

GPT-3.5 Turbo:

    Reasoning: Since the box is cubic, all edges have the same length. Let's denote the length of one edge as x. The volume of a cube is given by V = x^3. Given that V = 729 cubic feet, we have:

    x^3 = 729.

    Taking the cube root of both sides, we get:

    x = 9.

    Therefore, the length of one edge of the box is 9 feet.
    ### Answer: 9.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: The number 27 appears in a dream of a person who loves cryptic letters. He knows this number corresponds to a number obtained by cubing a letter's position in the alphabet. Can you find that letter by its position? (Let's use 'a' as 1, 'b' as 2, and so on.)

GPT-3.5 Turbo:

    To find the letter corresponding to the number 27, we need to solve for \( x \) in the equation \( x^3 = 27 \).

    \( x^3 = 27 \)

    Taking the cube root of both sides, we get:

    \( x = \sqrt[3]{27} \)

    \( x = 3 \)

    So, the letter corresponding to the number 27 is the 3rd letter in the alphabet, which is C.

    ### Answer: C

Expected answer: 3

Correct? No

🔗 Problem

Problem: A company manufactures small cubical buoys for use in boating. One buoy has a volume of 1 cubic foot. What is the length of each side of the buoy in feet?

GPT-3.5 Turbo:

    Reasoning: Since the buoy is a cube, each side has the same length. The volume of a cube is given by the formula V = s^3, where s is the length of each side. Given that the volume of the buoy is 1 cubic foot, we have 1 = s^3. Taking the cube root of both sides, we find s = 1.
    ### Answer: The length of each side of the buoy is 1 foot.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: The sun emits rays of energy that heat a cubical object to a temperature of 729 degrees. If the temperature at the heart of this object is directly proportional to the cube of its length, what is the length of the object in units?

GPT-3.5 Turbo:

    Let \( x \) be the length of the object. Since the temperature is directly proportional to the cube of its length, we have:

    \[ x^3 = 729 \]

    Taking the cube root of both sides, we get:

    \[ x = \sqrt[3]{729} = 9 \]

    Therefore, the length of the object is 9 units.
    ### Answer: 9.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: An orange was shaped perfectly into a cube, with its volume being 8 cubic centimeters. What is the length of each side of the cube-shaped orange in centimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube-shaped orange is 8 cubic centimeters, we have:

    8 = s^3

    Taking the cube root of both sides, we find:

    s = 2

    Therefore, the length of each side of the cube-shaped orange is 2 centimeters.
    ### Answer: 2.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A particular telescope has a cubical mirror box where the volume of the box is 729 cubic centimeters. What is the length of one edge of this box, in centimeters?

GPT-3.5 Turbo:

    Reasoning: Let the length of one edge of the box be x cm. Since the box is cubical, the volume of the box is given by x^3 = 729. Solving for x, we have x = ∛729 = 9 cm.

    ### Answer: 9 cm.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A backpack has a cubical storage compartment. The volume of this compartment is 125 cubic inches. What is the length of one side of the compartment in inches?

GPT-3.5 Turbo:

    Reasoning: Since the storage compartment is cubical, all sides are equal in length. Let's denote the length of one side as \( s \) inches. The volume of a cube is given by the formula \( V = s^3 \). Given that the volume is 125 cubic inches, we have:

    \[ s^3 = 125 \]

    Taking the cube root of both sides, we find:

    \[ s = \sqrt[3]{125} = 5 \]

    Therefore, the length of one side of the compartment is 5 inches.
    ### Answer: 5 inches.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A particular model of a stuffed animal comes in a cube-shaped box. The volume of this box is 343 cubic inches. What is the length of each side of the box, in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume is 343 cubic inches, we have:

    s^3 = 343

    Taking the cube root of both sides, we find:

    s = 7

    Therefore, the length of each side of the cube is 7 inches.
    ### Answer: 7 inches.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A certain type of candy comes in cube-shaped packages. When you measured the volume of one of these packages, it turned out to be 512 cubic centimeters. How long is each edge of a candy package?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge.
    Given that the volume of the cube-shaped package is 512 cubic centimeters, we have:
    512 = s^3
    Taking the cube root of both sides to solve for s:
    s = ∛512
    s = 8
    Therefore, each edge of the candy package is 8 centimeters long.
    ### Answer: 8.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A solid cube jungle gym at the park has a volume of 512 cubic feet. What is the length of a side of this jungle gym in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume is 512 cubic feet, we have \( 512 = \text{side length}^3 \). Taking the cube root of both sides, we find the side length to be \( \sqrt[3]{512} = 8 \) feet.

    ### Answer: 8 feet.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A company designs toothbrushes in a perfect cube shape for easy handling. One model has a volume of 729 cubic centimeters. What is the length of each edge of the toothbrush in centimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge.
    Given that the volume is 729 cubic centimeters, we have 729 = s^3.
    Taking the cube root of both sides, we get s = 9.
    Therefore, the length of each edge of the toothbrush is 9 centimeters.
    ### Answer: 9.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: There's a star in a distance galaxy shaped like a perfect cube. Its volume is 8 cubic light years. What is the length of each edge of the star (in light years)?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \(V = s^3\), where \(s\) is the length of each edge. Given that the volume of the cube is 8 cubic light years, we have:

    \(8 = s^3\)

    Taking the cube root of both sides, we find:

    \(s = \sqrt[3]{8} = 2\)

    Therefore, the length of each edge of the cube star is 2 light years.
    ### Answer: 2.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A Dolphin can completely fill a cubical chamber with its calls, where the intensity of the call's volume is effectively 1 unit^3. What is the length of each side of the cubical chamber?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Since the intensity of the call's volume is effectively 1 unit^3, the volume of the cube is 1 unit^3. Therefore, we have 1 = s^3. Taking the cube root of both sides, we get s = 1^(1/3) = 1.
    ### Answer: 1.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: The volume of a cubic gadget inside a watch mechanism is 1000 mm^3. What is the length of each side of this cubic gadget in millimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 1000 mm^3, we have:

    1000 = s^3

    Taking the cube root of both sides, we find:

    s = 10 mm

    Therefore, the length of each side of the cubic gadget is 10 mm.
    ### Answer: 10 mm.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: There is a cube with a volume of 1 cubic meter. Can you find the length of one edge of this cube in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one edge. Given that the volume is 1 cubic meter, we have 1 = s^3. Taking the cube root of both sides, we get s = 1^(1/3) = 1 meter.
    ### Answer: 1 meter.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A unicorn keeps her treasure in a magical cube-shaped box. The box has a volume of 216 cubic meters. How long is each side of this box in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume is 216 cubic meters, we have 216 = s^3. Taking the cube root of both sides, we find s = 6 meters.

    ### Answer: 6 meters.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A cube-shaped house has a volume of 64 cubic feet. What is the length of one side of the house in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume is 64 cubic feet, we have \( 64 = \text{side length}^3 \). Taking the cube root of both sides, we find the side length to be \( \sqrt[3]{64} = 4 \) feet.
    ### Answer: 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: The volume of a cubical toothbrush holder is 1000 cubic centimeters. What is the length in centimeters of the edge of the toothbrush holder?

GPT-3.5 Turbo:

    Reasoning: Let the length of the edge of the cubical toothbrush holder be \(x\) cm. Since the volume of a cube is given by \(x^3\), we have \(x^3 = 1000\). Solving for \(x\), we get \(x = \sqrt[3]{1000} = 10\) cm.

    ### Answer: 10 cm.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A sandwich shop has a signature bread loaf which is in a cubic form. They bake their bread in a cube-shaped oven whose volume is 125 cubic inches. Determine the length of each side of the loaf (f) in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the oven is 125 cubic inches, we have:

    125 = s^3

    Taking the cube root of both sides to solve for s, we get:

    s = ∛125
    s = 5

    Therefore, the length of each side of the loaf is 5 inches.
    ### Answer: 5 inches.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A special variety of strawberry is shaped like a cube. The strawberry has a volume of 64 cubic millimeters. What is the length of one side of the strawberry in millimeters?

GPT-3.5 Turbo:

    Reasoning: Since the strawberry is shaped like a cube, the volume of the cube is given by the formula V = s^3, where s is the length of one side of the cube. Given that the volume is 64 cubic millimeters, we have:

    64 = s^3

    Taking the cube root of both sides, we find:

    s = 4

    Therefore, the length of one side of the cube (strawberry) is 4 millimeters.
    ### Answer: 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A rocket is designed in the shape of a perfect cube. The rocket has a volume of 216 cubic meters. What is the length of each side of the rocket in meters?

GPT-3.5 Turbo:

    Reasoning: Since the rocket is in the shape of a cube, all sides are equal in length. The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of each side. Given that the volume is 216 cubic meters, we have:

    216 = s^3
    Taking the cube root of both sides, we get:
    s = 6

    Therefore, the length of each side of the rocket is 6 meters.
    ### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A company manufactures cubic lamp bases. Each lamp base has a volume of 512 cubic inches. Find the length of one edge of the base.

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \(V = s^3\), where \(s\) is the length of one edge of the cube. Given that the volume of the lamp base is 512 cubic inches, we have:

    \(512 = s^3\)

    Taking the cube root of both sides, we find:

    \(s = \sqrt[3]{512} = 8\)

    Therefore, the length of one edge of the base is 8 inches.
    ### Answer: 8 inches.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A certain species of fish lays eggs in a cubical arrangement. If one fish lays 27 eggs, what is the length of the edge of this cube?

GPT-3.5 Turbo:

    Reasoning: The total number of eggs laid by the fish is equal to the number of eggs in each layer of the cube multiplied by the number of layers in the cube. Since the fish lays 27 eggs and the cube is arranged in a cubical manner, the cube has 3 layers (3*3*3 = 27). Therefore, the length of the edge of the cube is 3.
    ### Answer: 3.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: The volume of a mini school bus is 512 cubic meters. If the shape of the bus can be closely approximated as a cube, then what is the length in meters of one edge of this 'cube'?

GPT-3.5 Turbo:

    Reasoning: Since the volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \), we can find the side length by taking the cube root of the volume. Therefore, the side length of the cube is \( \sqrt[3]{512} = 8 \) meters.
    ### Answer: 8 meters.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A giant cubic balloon used in a carnival has a volume of 343 cubic meters. What is the length of each edge of this balloon in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each edge. Given that the volume of the balloon is 343 cubic meters, we have 343 = s^3. Taking the cube root of both sides, we find s = 7.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A shirt was created in a very unique 3D cube design with a total volume of 343 cubic centimeters. What is the length of one side of this cubic shirt design in centimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube. Given that the volume of the cube shirt design is 343 cubic centimeters, we have:

    343 = s^3

    Taking the cube root of both sides to solve for s:

    s = ∛343
    s = 7

    Therefore, the length of one side of the cubic shirt design is 7 centimeters.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A roller skate is a cube-shaped container for a certain piece of equipment. It has a volume of 216 cubic inches. What is the length of each side of this roller skate container in inches?

GPT-3.5 Turbo:

    Reasoning: Since the roller skate container is a cube, all sides are equal in length. Let's denote the length of each side as \( s \) inches. The volume of a cube is given by the formula \( V = s^3 \). Given that the volume is 216 cubic inches, we have the equation \( 216 = s^3 \). Solving for \( s \), we find \( s = \sqrt[3]{216} = 6 \) inches.
    ### Answer: 6 inches.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: There's a cubic water tank which can hold up to 343 cubic meters of water. What is the side length of this cubic water tank?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{Side Length}^3 \).
    Given that the volume of the water tank is 343 cubic meters, we have:
    \[ 343 = \text{Side Length}^3 \]
    Taking the cube root of both sides, we get:
    \[ \text{Side Length} = \sqrt[3]{343} = 7 \]
    So, the side length of the cubic water tank is 7 meters.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A backpack has a cubical shape and can hold a volume of 216 cubic inches. What is the length of each side of the backpack in inches?

GPT-3.5 Turbo:

    Reasoning: Since the backpack has a cubical shape, all sides are equal in length. Let's denote the length of each side as x. The volume of a cube is given by the formula V = x^3. We are given that the volume is 216 cubic inches, so we have the equation x^3 = 216. To find the length of each side, we need to find the cube root of 216.

    Calculating the cube root of 216, we get x = 6.
    ### Answer: 6 inches.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A scientist studying a particular type of dinosaur discovered that the volume of the dinosaur's cube-shaped brain was 1 cubic meter. What is the length in meters of each side of the dinosaur's brain's cube structure?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \).
    Given that the volume of the cube-shaped brain is 1 cubic meter, we have \( 1 = \text{side length}^3 \).
    Taking the cube root of both sides, we find \( \text{side length} = 1^{1/3} = 1 \) meter.
    ### Answer: 1 meter.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A certain species of flower grows in clusters shaped as perfect cubes. One cluster of flowers has a volume of 1000 cubic centimeters. How long, in centimeters, is the edge of this flower cube?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one edge of the cube. Given that the volume of the cube is 1000 cubic centimeters, we have 1000 = s^3. Taking the cube root of both sides, we find s = 10.
    ### Answer: 10.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A princess has a magical cube-shaped box that can hold 512 cubic inches of fairy dust. What is the length of one side of this box in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume of the cube is 512 cubic inches, we have \( \text{side length}^3 = 512 \). Taking the cube root of both sides, we find that the side length is \( \sqrt[3]{512} = 8 \) inches.
    ### Answer: 8 inches.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A toy car toy is designed in the shape of a cube. If the toy car has a volume of 64 cubic inches, what is the length in inches of each side of the toy car?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the cube is 64 cubic inches, we have:

    64 = s^3

    Taking the cube root of both sides, we get:

    s = 4

    So, each side of the cube is 4 inches long.
    ### Answer: 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A special cube-shaped clock has a volume of 27 cubic inches. What is the length of each side of the clock in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume is 27 cubic inches, we have \( 27 = \text{side length}^3 \). Taking the cube root of both sides, we find that the side length is \( \sqrt[3]{27} = 3 \) inches.
    ### Answer: 3 inches.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A semi-truck has a cuboidal trailer. The volume of the cargo space in the trailer is 8 cubic meters, but the height and width are both the same length. What is the length of a side of this cubical cargo space?

GPT-3.5 Turbo:

    Let the length of each side of the cargo space be x meters. Since the volume of a cube is given by V = x^3, we have x^3 = 8. Solving for x, we get x = 2.

    ### Answer: 2.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A grocer has a cubic box that perfectly fits 343 grapes in it. What is the length of the side of the box marked in grapes?

GPT-3.5 Turbo:

    Reasoning: Since the box is cubic, the volume of the box is equal to the side length cubed. So, if the box fits 343 grapes, then the side length is the cube root of 343.
    The cube root of 343 is 7, because 7*7*7 = 343.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The volume of an elephant is approximately 343 cubic meters. If the elephant has a perfect cube shape, what is the length of each side in meters?

GPT-3.5 Turbo:

    Reasoning: Since the volume of a cube is given by side length cubed, we have side length = cube root of volume. Therefore, the length of each side of the cube is cube root of 343 = 7 meters.
    ### Answer: 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A camera company produces boxes for their cameras that are in the shape of a cube. The volume of each box is 27 cubic centimeters. Find the length of an edge of the box in centimeters.

GPT-3.5 Turbo:

    Reasoning: Since the box is in the shape of a cube, the volume of the cube is given by the formula V = s^3, where s is the length of one edge of the cube. Given that the volume is 27 cubic centimeters, we have 27 = s^3. Taking the cube root of both sides, we find s = 3 centimeters.

    ### Answer: 3 centimeters.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A lion roars in a cube-shaped territory of its own. The volume of the territory is 8 km^3. What is the edge length of this territory in kilometers?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one edge of the cube. Given that the volume is 8 km^3, we have 8 = s^3. Taking the cube root of both sides, we find s = 2 km.
    ### Answer: 2 km.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a school, the students use cube-shaped backpacks to carry their books. One of these cube backpacks has a volume of 125 cubic inches. What is the length of each side of the backpack in inches?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume of the backpack is 125 cubic inches, we have:

    125 = s^3

    Taking the cube root of both sides, we find:

    s = 5

    Therefore, the length of each side of the backpack is 5 inches.
    ### Answer: 5 inches.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A particular superhero has the ability to enclose villains in a cube of energy. If the cube has a volume of 64 cubic meters, what is the length of each side of the cube?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \(V = s^3\), where \(s\) is the length of each side of the cube. Given that the volume of the cube is 64 cubic meters, we have:

    \(64 = s^3\)

    Taking the cube root of both sides, we find:

    \(s = \sqrt[3]{64} = 4\)

    Therefore, the length of each side of the cube is 4 meters.
    ### Answer: 4 meters.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A treasure chest has a cube shape. The volume of the treasure chest is 125 cubic feet. What is the length of each side of the treasure chest in feet?

GPT-3.5 Turbo:

    Reasoning: Since the treasure chest has a cube shape, the volume of the cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume is 125 cubic feet, we have:

    125 = s^3

    Taking the cube root of both sides to solve for s, we get:

    s = ∛125
    s = 5

    Therefore, the length of each side of the treasure chest is 5 feet.
    ### Answer: 5 feet.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A fish tank in the shape of a cube holds exactly 1 cubic meter of water. What is the length, in meters, of each side of the fish tank?

GPT-3.5 Turbo:

    Reasoning: Since the fish tank is in the shape of a cube, all sides are equal in length. The volume of a cube is given by the formula V = s^3, where s is the length of each side. Given that the volume is 1 cubic meter, we have 1 = s^3. Taking the cube root of both sides, we find s = 1.
    ### Answer: 1.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A chef is experimenting with cubed food presentations and crafts an appetizer from cheese. The appetizer's volume is 125 cubic centimeters. What is the length of one side of this cheese cube in centimeters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube. Given that the volume of the cheese cube is 125 cubic centimeters, we have:

    125 = s^3

    Taking the cube root of both sides to solve for s:

    s = ∛125
    s = 5

    Therefore, the length of one side of the cheese cube is 5 centimeters.
    ### Answer: 5 cm.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A roller skater is skating in a skatepark modeled as a perfect cube. The volume of the skatepark, in cubic meters, is 343. What is the length of the edges of the skatepark in meters?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{side length}^3 \). Given that the volume of the skatepark is 343 cubic meters, we have \( 343 = \text{side length}^3 \). Taking the cube root of both sides, we find the side length to be \( \sqrt[3]{343} = 7 \) meters.

    ### Answer: 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: An ice skate manufacturer has a design for cubical boxes to package a pair of skates. If the volume of this box is 1 cubic foot, what is the length of a side of this box in feet?

GPT-3.5 Turbo:

    Reasoning: Since the box is cubical, all sides are equal in length. Let's denote the length of a side of the box as \( s \) feet. The volume of a cube is given by \( s^3 \), so we have \( s^3 = 1 \). Taking the cube root of both sides, we get \( s = 1^{1/3} = 1 \) foot.
    ### Answer: 1.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a video game, a player notices that a treasure chest contains an item cube with a volume of 729 cubic units. What is the length of each side of the item cube?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula \( \text{Volume} = \text{Side Length}^3 \). Given that the volume of the cube is 729 cubic units, we have \( 729 = \text{Side Length}^3 \). Taking the cube root of both sides, we find \( \text{Side Length} = \sqrt[3]{729} = 9 \).

    ### Answer: The length of each side of the item cube is 9 units.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A cookie dough is kneaded into a cube shape before baking. If the dough has a volume of 512 cubic cm, what is the length of each side of the cube in cm?

GPT-3.5 Turbo:

    Reasoning: Since the cookie dough is in the shape of a cube, the volume of the cube is given by the formula V = s^3, where s is the length of each side of the cube. Given that the volume is 512 cubic cm, we have 512 = s^3. Taking the cube root of both sides, we find s = 8 cm.

    ### Answer: 8 cm.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A tree has a cubical hole in its trunk. The volume of the cubical hole is 8 cubic feet. What is the length of the edge of this cubic hole in feet?

GPT-3.5 Turbo:

    Reasoning: The volume of a cube is given by the formula V = s^3, where s is the length of the edge of the cube. Given that the volume of the cubical hole is 8 cubic feet, we have 8 = s^3. Solving for s, we find s = 2 feet.
    ### Answer: 2 feet.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A guitarist uses a particular type of guitar string. The thickness of the string, in hundreds of a millimeter, cubed, will determine the pitch of a certain note, the guitarist wishes to play. If he needs the pitch to equal 343 Hz, what is the thickness of the string he should choose?

GPT-3.5 Turbo:

    Reasoning: The guitarist needs to find the thickness of the string that will produce a pitch of 343 Hz. Since the pitch is determined by the thickness of the string cubed, we need to find the cube root of 343 to determine the thickness of the string.

    Cube root of 343 = 7, because 7 * 7 * 7 = 343.

    So, the guitarist should choose a string with a thickness of 7 hundredths of a millimeter.
    ### Answer: 7.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The cubic area of the compass box is 729 cubic cm. What is the length of one edge of this cubical compass box, given that it is a cube?

GPT-3.5 Turbo:

    Reasoning: The length of one edge of the cube can be found by taking the cube root of the volume of the cube.
    Let \( x \) be the length of one edge of the cube.
    Given that the volume of the cube is 729 cubic cm, we have:
    \[ x^3 = 729 \]
    Taking the cube root of both sides, we get:
    \[ x = \sqrt[3]{729} = 9 \]
    Therefore, the length of one edge of the cube is 9 cm.
    ### Answer: 9 cm.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A book is written with a unique style where every page is in the shape of a cube. If the volume of one page is 64 cubic inches, what is the side length of each page?

GPT-3.5 Turbo:

    Given that the volume of one page is 64 cubic inches, and the volume of a cube is given by the formula \( \text{Volume} = \text{Side Length}^3 \), we can set up the equation \( 64 = \text{Side Length}^3 \) and solve for the side length.

    Taking the cube root of both sides, we get \( \text{Side Length} = \sqrt[3]{64} = 4 \) inches.

    ### Answer: \( \text{Side Length} = 4 \) inches.

Expected answer: 4

Correct? Yes