The surface area of one cube is twice the surface area of a second cube. What is the ratio of their volumes?

llaffer2021-03-21T16:54:44Z

If the ratio of lengths of similar shapes is x:y, then the ratio of their surface areas would be the square: x²/y² and the ratio of their volumes would be the cube: x³/y³

You are told that the surface area of one cube is twice the other, so:

2:1

We'll need to get the square root of this ratio to get the ratio of the lengths:

√(2):1

And then cube of this ratio to get the ratio of the volume:

√(2³):1 or 2√(2):1