The surface area of a square pyramid is calculated by adding the area of the base to the area of the four triangular faces.
First, calculate the area of the base:
Area of a square = side x side
Area of base = 12 x 12 = 144
Next, calculate the area of one of the triangular faces:
Area of a triangle = 0.5 x base x height
Base of triangle = 12
Height of triangle = slant height = 18
Area of one triangle = 0.5 x 12 x 18 = 108
Finally, calculate the total surface area by adding the area of the base and the four triangular faces:
Total surface area = base area + 4(triangle area) = 144 + 4(108) = 144 + 432 = 576
Therefore, the surface area of the square pyramid is 576 square units.
Calculate the surface area of the square pyramid that has a base length of 12 a d a slant height of 18. Show your work
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