Cube Roots and Exponents: Solving Volume Challenges

A box has a volume of 125 cubic inches. What is the length of one side of the box if it is a perfect cube?

• 8 inches

• 5 inches

• 4 inches

• 6 inches

If the side length of a cube is 4 inches, what is the volume of the cube?

• 64 cubic inches

• 80 cubic inches

• 32 cubic inches

• 48 cubic inches

A cube has a volume of 729 cubic centimeters. What is the cube root of the volume?

• 9

• 27

• 12

• 6

You have a cube-shaped garden with a volume of 512 cubic feet. How long is each side of the garden?

• 8 feet

• 12 feet

• 10 feet

• 6 feet

If a cube has a side length of x inches, express the volume of the cube in terms of x and find the cube root when x = 3.

• 6

• 9

• 3

• 12

A storage container is in the shape of a cube with a volume of 1000 liters. What is the length of one side of the container?

• 20 liters

• 5 liters

• 10 liters

• 15 liters

The volume of a cube is 343 cubic meters. What is the cube root of the volume, and what does it represent in this context?

• 6

• 8

• 9

• 7

If a perfect cube has a volume of 216 cubic units, what is the side length of the cube?

• 6

• 10

• 8

• 4

A toy block is in the shape of a cube with a volume of 64 cubic centimeters. How long is each edge of the block?

• 2 cm

• 6 cm

• 8 cm

• 4 cm

If the volume of a cube is represented by the expression x^3, what is the cube root of the volume when x = 5?

• 25

• 15

• 10

• 5