To find the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular faces and add them up.
First, calculate the area of the base:
Base area = (side length)^2 = 8^2 = 64 ft^2
Next, calculate the area of each triangular face:
Triangle area = (1/2) * base * height
Triangle area = (1/2) * 8 * 16 = 64 ft^2
Since there are four triangular faces, the total area of the triangular faces is:
Total triangular faces area = 4 * 64 = 256 ft^2
Finally, add the base area and the total triangular faces area to find the total surface area:
Surface area = Base area + Total triangular faces area
Surface area = 64 + 256 = 320 ft^2
Therefore, the surface area of the square pyramid is 320 ft².
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) responses 320 ft.2 320 ft. squared 256 ft.2256 ft. squared 128 ft.2 128 ft. squared 512 ft.2what is the surface area of a square pyramid where the base edge is 8 ft. and the slant height is 16 ft.?(1 point) responses 320 ft.2 320 ft. squared 256 ft.2256 ft. squared 128 ft.2 128 ft. squared 512 ft.2
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