To calculate the surface area of a pyramid, we can use the following 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 s of 60meters. Let's calculate its perimeter P!
P=4( 60) ⇒ P=240m
The area of the square equals the squared length of the side.
B= 60^2 ⇒ B=3600m^2
To find the slant height, we can use the Pythagorean Theorem, where the slant height l is the hypotenuse. The height and apothem of the pyramid are the legs of the triangle. Remember that the apothem is half of the pyramid's side length.
60m/2 = 30m
Let's use these given values to solve for l.
Note that, when solving the above equation, we kept the principal root. This is because l is the slant height of the pyramid and therefore it must be positive. Let's substitute all of these values into the formula for the surface area and calculate it.
