Question

A square pyramid has a surface area of 175 square inches. The square base has side lengths of 5 inches.Find the slant height of the pyramid

Answer 1

Okay. The surface area of a square pyramid is a square and 4 triangles.

First, find the area of the square:
5*5=25

Subtract the square from the entire surface area:
175-25=150

Now, we know that the area of the triangles added together is 150. Since there are 4 triangles, we want to find the area of one triangle:
150/4=37.5

Now we can set up an equation to find the slant height (or the height of the triangle):
1/2*5*h=37.5
5h=75
h=15

The slant height is 37.5 inches. Sorry for the long answer!