SA of a pyramid: 1/2ph + B
p = perimeter of base
h = slant height
B = area of base
Perimeter of base:
The pyramid has a square base, so take a side of the base and multiply it by 4 sides to find the perimeter of the base.
(2)(4) = 8 cm
Slant height:
The diagram shows that the slant height of the pyramid is 4 cm.
Area of base:
Since the pyramid has a square base, square one side of the base to find the area of the pyramid.
2cm² = 4 cm²
Now plug in the perimeter, slant height, and area of the base into the formula for SA of a pyramid.
1/2(8)(4) + 4
16 + 4 = 20 cm²
The surface area of the pyramid is 20 cm².