.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 can be calculated using the formula:
Surface area = base area + (1/2) x perimeter of base x slant height
First, we need to find the base area of the square pyramid. Since the base is a square, the area is given by:
Base area = base length x base length = 12 x 12 = 144
Next, we calculate the perimeter of the base:
Perimeter = 4 x base length = 4 x 12 = 48
Now, we can plug these values into the formula:
Surface area = 144 + (1/2) x 48 x 18
Surface area = 144 + 24 x 18
Surface area = 144 + 432
Surface area = 576
Therefore, the surface area of the square pyramid is 576 square units.