What is the surface area of a square pyramid where the base edge is 8 ft. and the slant height is 16 ft.?
(1 point)
The surface area of a square pyramid can be calculated using the formula:
Surface Area = base area + (0.5 * perimeter of base * slant height)
First, we need to find the base area of the square pyramid:
Base edge = 8 ft
Base area = side^2 = 8^2 = 64 sq.ft
Next, we need to find the perimeter of the base:
Perimeter of a square = 4 * side = 4 * 8 = 32 ft
Now, we can calculate the surface area:
Surface Area = 64 + (0.5 * 32 * 16)
Surface Area = 64 + (0.5 * 512)
Surface Area = 64 + 256
Surface Area = 320 sq.ft
Therefore, the surface area of the square pyramid is 320 square feet.