Solve for the surface area of the square pyramid. (1 point)
slant hieght: 9.9ft
length: 15ft
To find the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular faces.
First, calculate the area of the base:
Area of square base = side length^2
Area of square base = 15ft * 15ft = 225ft^2
Next, calculate the area of each triangular face:
Area of triangular face = 0.5 * base length * slant height
Area of triangular face = 0.5 * 15ft * 9.9ft ≈ 74.25ft^2
Since there are four triangular faces on a pyramid, the total surface area is:
Total surface area = 4 * area of triangular face + area of the base
Total surface area = 4 * 74.25ft^2 + 225ft^2
Total surface area = 297ft^2 + 225ft^2
Total surface area = 522ft^2
Therefore, the surface area of the square pyramid is 522 square feet.