Question
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
Answers
GPT 3.5
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.
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.