To find the surface area of a square pyramid, we need to find the area of the base and the area of the four triangular faces.
The area of the base of a square pyramid is found by squaring the length of one of the base edges. In this case, the base edge is 8 ft, so the area of the base is 8^2 = 64 ft^2.
The area of each triangular face can be found using the formula for the area of a triangle: (1/2) * base * height. The base of each triangular face is equal to the length of one of the base edges, which is 8 ft. The height of each triangular face is equal to the slant height of the pyramid, which is 16 ft.
So, the area of each triangular face is (1/2) * 8 ft * 16 ft = 64 ft^2.
Since there are four triangular faces on a square pyramid, the total area of the triangular faces is 4 * 64 ft^2 = 256 ft^2.
To find the surface area of the pyramid, we add the area of the base and the area of the triangular faces: 64 ft^2 + 256 ft^2 = 320 ft^2.
Therefore, the surface area of the square pyramid is 320 ft^2.
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.2512 ft. squared
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