Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (1/2) * Perimeter of the Base * Slant Height
First, let's calculate the base area of the square pyramid:
Base Area = length * width
= 12 * 12
= 144
Next, let's calculate the perimeter of the base of the square pyramid:
Perimeter of the Base = 4 * length
= 4 * 12
= 48
Now, we can substitute the given values into the formula:
Surface Area = 144 + (1/2) * 48 * 18
= 144 + (1/2) * 864
= 144 + 432
= 576
Therefore, the surface area of the square pyramid is 576 square units.