Estimating Cube Roots and Exponents in Real Life

A cube has a volume of 125 cubic meters. What is the length of one side of the cube? Estimate the cube root to check your answer.

• 5 meters

• 10 meters

• 3 meters

• 7 meters

If a box has a volume of 512 cubic centimeters, what is the approximate length of one edge? Use properties of exponents to help you solve.

• 12 cm

• 10 cm

• 6 cm

• 8 cm

A swimming pool is shaped like a cube and has a volume of 729 cubic feet. What is the length of each side?

• 12 feet

• 15 feet

• 9 feet

• 6 feet

You have a cube-shaped garden with a volume of 1000 cubic feet. Estimate the cube root to find the length of one side of the garden.

• 5 feet

• 15 feet

• 12 feet

• 10 feet

A storage unit is in the shape of a cube with a volume of 343 cubic yards. What is the length of one side?

• 5 yards

• 7 yards

• 10 yards

• 3 yards

If the volume of a cube is 216 cubic inches, what is the cube root? How can you express this using exponents?

• 5 or 125^(1/3)

• 7 or 343^(1/3)

• 8 or 512^(1/3)

• 6 or 216^(1/3)

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

• 2 centimeters

• 6 centimeters

• 4 centimeters

• 8 centimeters

You are building a cube-shaped fish tank with a volume of 512 liters. Estimate the cube root to find the length of each side.

• 8

• 10

• 12

• 6

A cube has a volume of 27 cubic feet. What is the length of one edge? Use your knowledge of exponents to verify your answer.

• 2 feet

• 4 feet

• 3 feet

• 5 feet

If a cube has a volume of 1000 cubic inches, what is the cube root? Explain how you can apply properties of exponents to find this value.

• 5

• 10

• 15

• 20