Answer:
Base: A = [tex]5^{2}[/tex] = 25 cm^2
Face: A = [tex]\frac{1}{2}[/tex] (5) (8) = 20 cm^2
Surface area of pyramid: S = 25 + 4 * 20
= 25 + 80 = 105 cm^2
Step-by-step explanation:
To find the surface area we have to find the area of the base and the sides and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply the length by itself.
5 * 5 = 25 square cm
To find the area of the sides:
Since the sides are triangles, we have to multiply the length by the height and divide by 2.
8 * 5 = 40
40/2 = 20
The area of one side is 20 square cm
To find the total surface area:
Add together the area from the base and all four sides.
4 (20) + 25 = surface area
80 + 25
105 = surface area
The surface area is 105 square cm.
