Calculate the surface area of the square pyramid that's the base length of 12 and a slant height of 18. Show your work

Answer 1

The formula for the surface area of a square pyramid is:

Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height

Given:
Base Length = 12
Slant Height = 18

First, calculate the base area:
Base Area = length * width = 12 * 12 = 144

Next, calculate the perimeter of the base:
Perimeter of Base = 4 * length = 4 * 12 = 48

Now, plug these values into the surface area 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.