Question

The ratio of the heights of two similar rectangular prisms is 3:4. What is the ratio of their lateral areas?

Answer 1

The Surface Area of the prism = 2*L + 2*W + 2*H
if the ratio of the two heights is 3:4
The ratio of the corresponding Lateral ares = \[the ratio of the corresponding areas = 9:16\]
or 9/16

You would square the ratio because in surface area you are using two measurements (the base and the height)