Mastering Cube Roots: Real-Life Applications for Grade 8

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

• 10 meters

• 5 meters

• 7 meters

• 3 meters

If a storage container is in the shape of a cube and has a side length of 4 meters, what is its volume?

• 64 cubic meters

• 48 cubic meters

• 16 cubic meters

• 32 cubic meters

You have a cube-shaped garden with a volume of 512 cubic feet. How long is each side of the garden?

• 8 feet

• 6 feet

• 12 feet

• 10 feet

A fish tank is in the shape of a cube and holds 729 liters of water. Estimate the length of one side of the tank.

• 0.9 meters

• 1.5 meters

• 1.2 meters

• 0.5 meters

A box is shaped like a cube and has a volume of 1000 cubic inches. What is the cube root of the volume?

• 5

• 15

• 20

• 10

If the side length of a cube is increased to 3 times its original length, how does the volume change?

• The volume remains the same.

• The volume decreases by a factor of 9.

• The volume increases by a factor of 12.

• The volume increases by a factor of 27.

A cube has a volume of 343 cubic centimeters. What is the approximate cube root of this volume?

• 8

• 9

• 7

• 6

You want to build a cube-shaped shed with a volume of 216 cubic feet. What will be the length of each side?

• 4 feet

• 8 feet

• 10 feet

• 6 feet

If you know the volume of a cube is 64 cubic meters, what is the estimated side length?

• 5 meters

• 3 meters

• 6 meters

• 4 meters

A cube has a volume of 1000 cubic units. If you want to find the side length, what calculation would you perform?

• 5 units

• 10 units

• 20 units

• 15 units