Geometry

Question Analysis
This question is about working backwards from the ratio of surface areas of two similar solids to find the scale factor.
The main focus is on the inverse relationship between the ratio of surface areas and the scale factor.

Key Concept Explanation
Since the ratio of the surface areas of two similar solids is equal to the square of the scale factor , to find the scale factor from the ratio of surface areas, we need to take the square root of the surface area ratio.

Step - by - Step Solution
Let the scale factor be and the ratio of surface areas