Question

Find the surface area of the pentagon-based pyramid with a slant height of 9 in.

Answer 1

56 square inches

Explanation:

Surface area of pentagonal based pyramid:

`\sf \boxed{\bfSurface \ area \ of \ pentagonal \ pyramid = (5)/(2)*b(a+s)}`

Here, b is the base of the pentagonal pyramid.

a is the Apothem of the pentagon.

S is the slant height.

`\sf = (5)/(2)*2*(2.2 + 9)\\\\ =(5)/(2)*2*11.2\\\\= 56 \ in^2`