Cubes and Roots: Mastering Volume and Estimation

1. Sarah has a cube-shaped box with a volume of 27 cubic inches. What is the length of one side of the box?

• 2 inches

• 4 inches

• 3 inches

• 5 inches

2. A gardener is planting a cube-shaped flower bed that has a volume of 64 cubic feet. Estimate the length of one side of the flower bed.

• 4 feet

• 6 feet

• 2 feet

• 8 feet

3. If a perfect cube has a side length of 5 cm, what is its volume?

• 125 cm³

• 100 cm³

• 150 cm³

• 25 cm³

4. A toy store has a display of cube-shaped blocks. If one block has a volume of 125 cubic centimeters, what is the length of one side?

• 8 centimeters

• 5 centimeters

• 3 centimeters

• 10 centimeters

5. A swimming pool is in the shape of a cube with a volume of 1,000 cubic meters. Estimate the length of one side of the pool.

• 5 meters

• 15 meters

• 20 meters

• 10 meters

6. A cube has a volume of 216 cubic inches. What is the cube root of the volume?

• 8

• 4

• 10

• 6

7. If you have a cube with a side length of 3 meters, what is the estimated volume of the cube?

• 27 cubic meters

• 9 cubic meters

• 36 cubic meters

• 12 cubic meters

8. A box is shaped like a cube and has a volume of 512 cubic inches. What is the length of one side of the box?

• 12 inches

• 6 inches

• 10 inches

• 8 inches

9. A perfect cube has a volume of 729 cubic centimeters. What is the side length of the cube?

• 10 centimeters

• 9 centimeters

• 12 centimeters

• 8 centimeters

10. If a cube has a side length of 4 inches, what is the estimated volume of the cube?

• 48 cubic inches

• 32 cubic inches

• 80 cubic inches

• 64 cubic inches