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

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!