the volume of cube A is 216 cubic inches. the length of each edge in cube B is 2 inches longer than the length of each edge in cube A. how much greater is the volume of cube B than volume of cube A

Respuesta :

If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440

This can be more easily displayed with smaller numbers

If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)