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 16 feet. Let's calculate its perimeter!
P=4s ⇒ P&=4( 16)
&=64ft
The area of the square equals the squared length of the side.
B=s^2 ⇒ B&= 16^2
&=256ft^2
We are also given that the slant height l is 17 feet. Let's substitute all of these values into the formula for the surface area and calculate it.
The surface area of the pyramid is 800 square feet.
Volume
The volume of a pyramid can also be calculated using a known formula.
V=1/3Bh
Once again, B is the area of the base, and h is the height. We already found that the area of the pyramid's base is 256 square feet. We are also given that the height is 15 feet. Let's substitute these values into the formula and calculate V.
