To find the surface area of a square pyramid, you need to calculate the area of the square base and the area of the four triangular faces.
First, find the area of the square base:
Area = side length x side length
Area = 12 x 12
Area = 144
Next, find the area of one of the triangular faces:
Area = 0.5 x base length x height
Height = slant height = 18
Base length = side length of the square base = 12
Area = 0.5 x 12 x 18
Area = 108
Since there are four triangular faces in a square pyramid, multiply the area of one face by 4:
4 x 108 = 432
Finally, add the area of the base and the area of the triangular faces together to find the total surface area:
144 (base) + 432 (triangular faces) = 576
So, the surface area of the square pyramid is 576.
Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work.(2 points)
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