Question

How long is the edge of a cube whose volume is twice that of the cube below? Round to the nearest tenth.

The pic is of a cube with 8 as the length

Answer 1

2s^3 = (∛2 s)^3
That is, the sides will be ∛2 as big to produce a volume twice as big.

Remember that area grows as the square of the scale, and volume grows as the cube.

So, when scaling area, the length grows as √
when scaling volume, the length grows as ∛

Answer 2

Could you elaborate a little further than that? I am still a bit confused on how to find the answer.

Answer 3

come on, guy
if the side is now 8, then the side of a cube with twice the volume will be 8∛2

the side of a cube with 1/8 the volume would be 8∛(1/8) = 8/2 = 4
this is the same as saying that a cube with sides 1/2 as long has 1/8 the volume