Which formulas can be used to find the surface of a regular pyramid with a square base where the perimeter of the base is equal to p s is the slant height, ba is the base area and la is the lateral area?
Accepted Solution
A:
we have that p---------> perimeter of the base s---------> slant height ba------> is the area of the base la------> lateral area
we know that [surface area of a regular pyramid]=area of the base+4*[area of one lateral triangle]
area of the base=ba area of one lateral triangle=(p/4)*s/2----> p*s/8 [surface area of a regular pyramid]=ba+4*[p*s/8]----> ba+p*s/2
and
[surface area of a regular pyramid]=area of the base+lateral area area of the base=ba lateral area=la so [surface area of a regular pyramid]=ba+la
the answer is surface area=ba+p*s/2 surface area=ba+la