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.
+128448 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
