Respuesta :

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:

[tex]volume = side^3 = side * side * side[/tex]

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

[tex]8 * volume = 8 * (side*side*side)[/tex]

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

[tex]8*volume = 2*2*2*(side*side*side)[/tex]
[tex]8*volume = 2*side * 2*side * 2*side[/tex][tex]8*volume = (2*side) * (2*side) * (2*side)[/tex][tex]8*volume = (2*side)^3[/tex]

We can see the side length only doubles.

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