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)
The surface area of a square pyramid is given by the formula:
Surface area = base area + (1/2) * perimeter of base * slant height
First, calculate the base area:
Base area = side^2 = 12^2 = 144
Next, calculate the perimeter of the base (since it is a square, all sides are equal):
Perimeter = 4 * side = 4 * 12 = 48
Now, plug in the values into the formula:
Surface area = 144 + (1/2) * 48 * 18
Surface area = 144 + 24 * 18
Surface area = 144 + 432
Surface area = 576
Therefore, the surface area of the square pyramid is 576 square units.