To calculate the surface area of a pyramid, we can use the known formula where P is the perimeter of the base, l is the slant height, and B is the area of the base.
S=1/2Pl+B
The base of the pyramid is a square with the side length of 16m. Let's calculate its perimeter!
P=4s ⇒ P=4( 16)=64m
The area of the square equals the squared length of the side.
B=s^2 ⇒ B= 16^2=256m^2
We are also given that the slant height l is 10m. Let's substitute all of these values into the formula for the surface area and calculate it.