If the given ratio of two similar solids is 5:3, what is the similarity ratio of the corresponding surface areas?

surface area ratio = 25/9

Step-by-step explanation:

When two solid figures or shapes are similar the ratio of their corresponding length are equal. This simply means when two solids are similar the ratio of their corresponding sides are proportional. For a similar solid the ratio of their surface area is the side ratio squared.

This simply means the ratio of their corresponding sides is squared for the surface area ratio.

In the case of the given ratio of the two similar solids given as 5 : 3, the similarity ratio of the corresponding surface area can be computed below.

a/b = (a/b) ² Therefore,

5/3 = (5/3) ²

surface area ratio = 25/9