Cube Roots in Action: Solving Real-World Volume Problems

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

• 10 centimeters

• 6 centimeters

• 5 centimeters

• 4 centimeters

If a storage container is in the shape of a cube and has a volume of 512 cubic meters, what is the length of each edge of the container?

• 6 meters

• 12 meters

• 10 meters

• 8 meters

A fish tank is in the shape of a cube and holds 729 liters of water. How long is each side of the tank?

• 1.2 meters

• 0.9 meters

• 0.5 meters

• 1.0 meters

You are building a cube-shaped garden shed with a volume of 1000 cubic feet. What is the length of one side of the shed?

• 10 feet

• 12 feet

• 8 feet

• 15 feet

A cube of ice has a volume of 64 cubic inches. What is the length of one side of the ice cube?

• 4 inches

• 6 inches

• 2 inches

• 8 inches

If a cube has a side length of 5 inches, what is its volume? Use this information to find the cube root of the volume.

• 6 inches

• 4 inches

• 3 inches

• 5 inches

A box is shaped like a cube and has a volume of 343 cubic inches. What is the length of one side of the box?

• 3 inches

• 7 inches

• 5 inches

• 10 inches

You have a cube-shaped block of wood with a volume of 216 cubic centimeters. How long is each edge of the block?

• 5 cm

• 7 cm

• 8 cm

• 6 cm

A swimming pool is designed in the shape of a cube with a volume of 1728 cubic feet. What is the length of one side of the pool?

• 16 feet

• 10 feet

• 12 feet

• 14 feet

If a cube has a volume of 1000 cubic centimeters, what is the cube root of the volume, and what does this tell you about the side length?

• 15 centimeters

• 5 centimeters

• 20 centimeters

• 10 centimeters