Video Transcript
What is the edge length of a cube whose volume is 64 centimeters cubed?
So we are given the volume of a cube, and it’s 64 centimeters cubed. And the formula for the volume of a cube is equal to the length times the width times the height.
But in a cube, all of the sides are equal. So instead of naming it the length, the width, and the height, it would be one side length times another side length times another side length, also known as the side length cubed.
So we can take the volume of a cube formula and set it equal to the volume that we actually know: 64 centimeters cubed. So in order to find the length of the edge, which is a side, we need to cube root both sides of this equation.
On the left-hand side, the cube root cancels all the cube. And then the cube root of 64 is four and the cube root of centimeters cubed would be centimeters.
Therefore, the edge length of a cube whose volume is 64 cubic centimeters will be four centimeters.
