Cube Roots in Action: Solving and Graphing Challenges

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

• 10 meters

• 7 meters

• 5 meters

• 3 meters

If the side length of a cube is increased to 8 meters, what will be the new volume of the cube?

• 512 cubic meters

• 128 cubic meters

• 256 cubic meters

• 64 cubic meters

A storage container is in the shape of a cube with a volume of 512 cubic feet. How long is each edge of the container?

• 10 feet

• 12 feet

• 8 feet

• 6 feet

You are building a cube-shaped garden shed with a volume of 729 cubic feet. What is the length of one side of the shed?

• 9 feet

• 6 feet

• 12 feet

• 15 feet

The volume of a fish tank is 1000 liters. If the tank is in the shape of a cube, what is the length of one side?

• 5

• 10

• 20

• 15

Graph the cube root function y = ∛x. What is the value of y when x = 27?

• 4

• 2

• 3

• 5

If a cube has a volume of 343 cubic inches, what is the length of one side?

• 8 inches

• 10 inches

• 7 inches

• 6 inches

A cube's volume is represented by the equation V = s³, where s is the side length. If V = 216, what is s?

• 4

• 6

• 8

• 10

You have a cube-shaped box with a volume of 64 cubic centimeters. How would you graph the function that represents the relationship between the side length and volume?

• s = V^2

• s = V^(1/3) where V is the volume of the cube.

• s = V/3

• s = 3V

If the side length of a cube is represented by the variable s, write an equation for the volume of the cube and find the cube root when the volume is 1000.

• 15

• 5

• 10

• 20