Use a formula to find the surface area of the square pyramid

Question

45ft
81ft
36ft

Answer 1

To find the surface area of a square pyramid, we can use the formula:

Surface Area = Base Area + 0.5 * Perimeter of Base * Slant Height

In this case, we have:

- Base Side Length (s) = 45 ft
- Slant Height (l) = 81 ft
- Base Area (A_base) = s^2 = 45^2 = 2025 square feet
- Perimeter of Base (P_base) = 4 * s = 4 * 45 = 180 ft

Now, we can plug these values into the formula:

Surface Area = 2025 + 0.5 * 180 * 81

Surface Area = 2025 + 7290

Surface Area = 9315 square feet