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The surface area of a regular pyramid with a square base which has a slant height of 5 units and base side lengths of 9 units is:

A) 360 units squared

B) 252 units squared.

C) 171 units squared.

D) 117 units squared.

pwolfey  Nov 16, 2017
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Base area  = area of a square =   9^2  = 81 units^2     (1)

 

Area of the sides  =  area of 4 trianges each with a base of 9 and height of 5 =   

4*  (1/2)(9)(5)  = 90 units^2   (2)

 

Surface area  = (1)  + (2)  =  [ 81 + 90 ] =  171 units^2

 

 

cool cool cool

CPhill  Nov 16, 2017

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