what is the surface area of a pyramid with a base length of 12 and a slant height of 18
The surface area of a pyramid can be calculated using the formula:
Surface Area = base area + 0.5 * perimeter of base * slant height
First, calculate the base area:
Base area = length of base * width of base
Base area = 12 * 12
Base area = 144
Next, calculate the perimeter of the base:
Perimeter of base = 4 * length of base
Perimeter of base = 4 * 12
Perimeter of base = 48
Now, plug in the values into the formula:
Surface Area = 144 + 0.5 * 48 * 18
Surface Area = 144 + 0.5 * 864
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the pyramid is 576 square units.