Question
What is the surface area of a square pyramid where the base edge is 8 ft. and the slant height is 16 ft.
512
320
256
128
512
320
256
128
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the surface area of a pyramid, we need to find the area of the base and the area of each triangular face.
The area of the base of a square pyramid is given by: base edge^2 = 8^2 = 64 square feet.
The surface area of each triangular face can be found using the formula: (1/2) * (base edge) * (slant height) = (1/2) * 8 * 16 = 64 square feet.
Since a square pyramid has 4 triangular faces, the total surface area is 4 * 64 = 256 square feet.
Therefore, the correct answer is 256.
The area of the base of a square pyramid is given by: base edge^2 = 8^2 = 64 square feet.
The surface area of each triangular face can be found using the formula: (1/2) * (base edge) * (slant height) = (1/2) * 8 * 16 = 64 square feet.
Since a square pyramid has 4 triangular faces, the total surface area is 4 * 64 = 256 square feet.
Therefore, the correct answer is 256.
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