Verified Answer :

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:

\(volume = side^3 = side * side * side\)

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

\(8 * volume = 8 * (side*side*side)\)

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

\(8*volume = 2*2*2*(side*side*side)\)
\(8*volume = 2*side * 2*side * 2*side\)\(8*volume = (2*side) * (2*side) * (2*side)\)\(8*volume = (2*side)^3\)

We can see the side length only doubles.