Find the surface area of the pyramid. The side lengths of the base are equal. Square pyramid with base edge of 7 inches, and a slant height measuring 5 inches, on a triangular face.

Surface area of the square based pyramid is 134.4in²

Step-by-step explanation:

Surface area of the square based pyramid is expressed as:

S = a²+2a√a²/4 + h²

a is the base edge

h is the slant height of the pyramid

Given a = 7in, h = 5in

S = 7²+2 (7) √7²/4+5²

S = 49 + 14√49/4+25

S = 49 + 14√149/4

S = 49+14√37.25

S = 49+14 (6.1)

S = 49+85.4

S = 134.4in²