If the volume of a cube is increased by a factor of 8 ,what is the change in the length of the sides of the cube?

The side length of the cube will only go up by a factor of 2.

Think about it like finding the volume of a cube in reverse:



If we multiply the left and right sides of this equation by 8:



And try to "distribute" the 8 by splitting it up into three 2's:




We can see the side length only doubles.

Is there a picture of a graph or whatever that goes along with this?