Question

1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet

Answer 1

Slant height = 8 feet.

Explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3 feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.