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A glasshouse is in the shape of a square pyramid. Calculate the area of the four triangle faces to be nearest square metre if the side of the square is 20m and the height of the pyramid is 17m.

 Feb 23, 2020
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We  need  the slant height  of the faces  

 

This will be  =  sqrt  [ 1/2 of side  length ^2   +  height ^2 ]  =  [ 10^2  + 17^2 ]  =  sqrt (389) m

 

The  area of the  four faces =

 

4  [ area of  one face ]  =

 

4  [  area of a triangle with a base of 20  and height of sqrt (389) ]   =

 

4 (1/2) base * height  =

 

2  (20) sqrt (389) 

 

40 sqrt (389) ≈   

 

788.9 m^2

 

 

cool cool cool

 Feb 23, 2020

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