The figures below are similar.
What is the surface area of the smaller rectangular pyramid?
The following proportion applies to similar solids:
where is the ratio of the corresponding dimensions, and is the ratio of the surface areas.
Find the square of the ratio of the corresponding dimensions:
Find the ratio of the surface areas:
Use these two ratios to set up a proportion and solve for S1.

= 




= 

Find the cross products 

1,764 
= 

Simplify 


= 

Divide both sides by 49 

36 
= 


The surface area of the smaller rectangular pyramid is 36 square centimeters. .