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

Question

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

anonymous · Answer

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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)