Estimating Cube Roots & Finding Perfect Cubes in 7th Grade

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

• 10 centimeters

• 7 centimeters

• 3 centimeters

• 5 centimeters

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

• 32 cm³

• 48 cm³

• 80 cm³

• 64 cm³

3. Estimate the cube root of 512. What whole number is closest to this value?

• 8

• 12

• 10

• 6

4. A storage container is in the shape of a cube with a volume of 729 cubic feet. How long is each edge of the container?

• 9 feet

• 6 feet

• 15 feet

• 12 feet

5. If you have a perfect cube with a volume of 1000 cubic inches, what is the cube root of that volume?

• 20

• 15

• 5

• 10

6. A swimming pool is designed to be a cube with a volume of 216 cubic meters. How long is each side of the pool?

• 10 meters

• 8 meters

• 4 meters

• 6 meters

7. Estimate the cube root of 1000. Is it closer to 10, 9, or 11?

• 10

• 8

• 15

• 12

8. A toy block is in the shape of a cube with a volume of 64 cubic centimeters. What is the length of one side of the block?

• 4 centimeters

• 6 centimeters

• 2 centimeters

• 8 centimeters

9. If a perfect cube has a volume of 343 cubic units, what is the cube root of that volume?

• 7

• 9

• 6

• 8

10. A garden shed is a cube with a volume of 512 cubic feet. What is the length of one side of the shed?

• 12 feet

• 6 feet

• 10 feet

• 8 feet