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+BThe base of the pyramid is a square with the side length of 11in. Let's calculate its perimeter!
P=4s ⇒ P=4( 11)=44in.
The area of the square equals the squared length of the side.
B=s^2 ⇒ B= 11^2=121in.^2
To find the slant height, we can use the Pythagorean Theorem. When doing this, the slant height l is the hypotenuse. The height and apothem, which is half of the side length, of the pyramid are the legs. Let's use these given values to solve for l.
