To calculate the lateral area of a pyramid, we can use the known formula where P is the perimeter of the base and l is the slant height.
L=1/2Pl
The base of the pyramid is a square with a side length of 16cm. Let's calculate its perimeter!
P=4s ⇒ P=4( 16)= 64cm
We are also given that the slant height l is 12cm. Let's substitute all of these values into the formula for the lateral area and calculate it.
To calculate the surface area of a pyramid, we need to calculate the sum of the lateral area L and the area of the base B.
S=L+B
Recall that the base of the pyramid is a square with a side length of 16cm. The area of the square equals the squared length of the side.
B=s^2 ⇒ B= 16^2= 256cm^2
Let's substitute L= 384 and B= 256 into the formula for the surface area and calculate it.
