The pyramid has a square base that is 12 inches on each side. It has a surface area of 336 square inches. What is the slant height?

To find the surface area of a pyramid the formula is:

SA - Surface Area

B - Base

n - number of sides of the pyramid not includung the base

b - length of one side of the base

l - slant height

SA = B + 1/2 nbl

Since we know everything but the "l" we can solve for "l". I will replace "l" with x to avoid confusion.

336 = 144 + (4 * 12 * x) / 2

336 - 144 = 144 - 144 + (4 * 12 * x) / 2

192 = (4 * 12 * x) / 2

192 = 48x / 2

192 = 24x

192 / 24 = 24x / 24

x = 8

Slant Height = 8 inches