What is the surface area, in square meters, of the pyramid?

10m is the square and 12m is the pyramid

1 answer

The surface area of a pyramid can be calculated using the formula:
Surface Area = 0.5 * base perimeter * slant height + base area

First, calculate the base perimeter of the pyramid:
Base perimeter = 4 * 10m = 40m

Next, calculate the slant height of the pyramid:
Slant height = sqrt((12m)^2 + (5m)^2) = sqrt(144 + 25) = sqrt(169) = 13m

Now, calculate the base area of the pyramid:
Base area = 10m * 10m = 100 square meters

Finally, calculate the surface area of the pyramid:
Surface Area = 0.5 * 40m * 13m + 100 square meters
Surface Area = 0.5 * 520 square meters + 100 square meters
Surface Area = 260 square meters + 100 square meters
Surface Area = 360 square meters

Therefore, the surface area of the pyramid is 360 square meters.