SOLUTION: If the lateral surface area of a square pyramid is 84 ft2 and the base edge is 6, what is the slant height?
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Question 1089184: If the lateral surface area of a square pyramid is 84 ft2 and the base edge is 6, what is the slant height? Answer by ikleyn(52782) (Show Source):
The lateral surface of this pyramid is comprised of four congruent triangles.
So the area of each such triangle (lateral face) is = 21 ft^2.
This area is half of the product the base edge length and the slant height:
21 = ,
which gives h = = = 7 ft.
Answer. The slant height is 7 ft.
Solved.
On surface area of basic solid bodies see the lessons in this site
