Question

What is the surface area of a square pyramid with a base perimeter of 60 inches and a slant height of 13 inches? 450 in. 2 O 780 in.2 390 in? 0 615 in.2​

Answer 1

total area = 615 sq. in.

Explanation:

There are 4 triangles that make up the lateral area. The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in. So, the area of one triangle = .5bh = .5(15)(13) = 97.5. The lateral area = 4(97.5) = 390. The area of the square base is 15(15) = 225. The total area = 390 + 225 = 615 sq. in.