Mastering Roots, Exponents, and Perfect Cubes in Math

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

• 8 meters

• 5 meters

• 6 meters

• 4 meters

2. If the square root of a number is 9, what is the value of the number?

• 72

• 81

• 100

• 45

3. A box is shaped like a cube with a side length of 4 cm. What is the volume of the box?

• 48 cm³

• 80 cm³

• 32 cm³

• 64 cm³

4. If a number is raised to the power of 3 and equals 64, what is the number?

• 16

• 8

• 4

• 2

5. The area of a square garden is 144 square meters. What is the length of one side of the garden?

• 12 meters

• 10 meters

• 16 meters

• 14 meters

6. If the cube root of a number is 5, what is the value of the number?

• 125

• 216

• 27

• 64

7. A cube has a side length of x. If the volume of the cube is 216 cubic inches, what is the value of x?

• 10

• 6

• 4

• 8

8. If the square of a number is 49, what is the number?

• 6

• 7 and -7

• 8

• -6

9. A storage container is in the shape of a cube with a volume of 1000 cubic feet. How long is each edge of the container?

• 20 feet

• 10 feet

• 15 feet

• 5 feet

10. If a number is cubed and the result is 27, what is the original number?

• 3

• 4

• 2

• 5