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Use a formula to find the surface area of each polyhedron described.

(a) a rectangular prism that is 4 feet wide, as tall as it is wide, and twice as long as it is tall 
_______ ft2 

(b) a regular hexagonal pyramid with a base area of 166.3 square centimeters, a base side length of 8 centimeters, and a slant height of 8 centimeters 
______ cm2

 Sep 18, 2018

This might be a nice visual aide:


In order to figure out the surface area of this rectangular prism, we just need to find the area of the faces. That's all! All you have to do is double the visible faces shown in the above diagram.


\(A_1=4*4=16ft^2\\ A_2=8*4=32ft^2\\ A_3=8*4=32ft^2\\ SA=2(A_1+A_2+A_3)\\ SA=2(16ft^2+32ft^2+32ft^2)\\ SA=2*80ft^2\\ SA=160ft^2\)


Try and see if you can do the next one!

 Sep 18, 2018

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