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) And write it like a 7 grader

Answer 1

First, we need to calculate the total surface area of the square pyramid.
The formula for the surface area of a square pyramid is:
Surface Area = base area + (1/2) * perimeter of base * slant height

The base area of a square pyramid is found by squaring the length of one side of the base.
Base Area = 12 * 12 = 144 units squared

Next, we need to find the perimeter of the base by multiplying the length of one side by 4.
Perimeter of Base = 12 * 4 = 48 units

Now, we can plug in the values we have into the formula and solve for the total surface area:
Surface Area = 144 + (1/2) * 48 * 18
Surface Area = 144 + 432
Surface Area = 576 units squared

Therefore, the surface area of the square pyramid is 576 units squared.