Cube Roots & Perfect Cubes: A 7th Grade Challenge

1. A cube has a volume of 125 cubic meters. What is the length of one side of the cube?

• 3 meters

• 10 meters

• 7 meters

• 5 meters

2. If a box is shaped like a cube and has a side length of 4 cm, what is the volume of the box?

• 80 cm³

• 64 cm³

• 32 cm³

• 48 cm³

3. Sarah is building a cube-shaped garden shed. If she wants the shed to have a volume of 512 cubic feet, what will be the length of each side?

• 6 feet

• 10 feet

• 12 feet

• 8 feet

4. A toy is in the shape of a cube with a volume of 729 cubic inches. What is the cube root of the volume?

• 27

• 12

• 9

• 6

5. A swimming pool is designed to be a perfect cube with a volume of 1000 cubic feet. How long is each side of the pool?

• 12 feet

• 5 feet

• 15 feet

• 10 feet

6. If a perfect cube has a side length of 3 meters, what is its volume?

• 18 cubic meters

• 36 cubic meters

• 27 cubic meters

• 9 cubic meters

7. A storage container is a cube with a volume of 343 cubic centimeters. What is the length of one side of the container?

• 8 cm

• 7 cm

• 10 cm

• 5 cm

8. A cube has a volume of 216 cubic yards. What is the cube root of the volume?

• 8

• 6

• 5

• 7

9. If a perfect cube has a volume of 64 cubic inches, what is the length of one side?

• 8 inches

• 2 inches

• 4 inches

• 6 inches

10. A cube-shaped ice block has a volume of 512 cubic centimeters. What is the cube root of the volume?

• 8

• 10

• 12

• 6