Question

The volume of a cube is 64 cubic feet. What are the lengths of the sides of the cube?

Answer 1

4 feet

Explanation:

Volume of a cube= Length× Breadth× Height

Since all sides of a cube are the same, we take 64 cubic feet³ and cube-root it to get 4 feet, which is the answer.

Answer 2

So to find the side lengths of a cube, one side would equal to the volume to the power of 1/3.
s=v^1/3
s=64^1/3
s=4
The side lengths of the cube are 4 feet.
*********Opposite Example*********
Now to find the volume using sides, the volume would equal to one side to the third power: (for example one side is 5 feet)
v=s^3
v=5^3
V=125
The volume of the cube is 125 cubic feet.