To calculate the surface area of a pyramid, we can use the formula where p is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base.
S.A.=1/2pl+B
The base of the pyramid is a square with the side length of 12 inches. Let's calculate its perimeter!
p=4s ⇒ p=4( 12)=48in.
The area of the square equals the squared length of the side.
B=s^2 ⇒ B= 12^2=144in.^2
We are also given that the slant height l is 11 inches. Let's substitute all of these values into the formula for the surface area and calculate it.