Question

Solve for the surface area of the square pyramid.

(1 point)
Responses

522 ft.2
522 ft. squared

819 ft.2
819 ft. squared

148.5 ft.2
148.5 ft. squared

299.25 ft.2

Answer 1

To find the surface area of a square pyramid, you need to add the area of the base (the square) to the area of the four triangular faces.

Let's assume the base of the square pyramid has a side length of 10 ft, and the slant height of the pyramid is 15 ft.

1. Calculate the area of the base (square):
Area of a square = side length^2
Area of the base = 10^2 = 100 ft^2

2. Calculate the area of each triangular face:
Area of a triangle = 0.5 * base length * height
Area of each triangular face = 0.5 * 10 * 15 = 75 ft^2

3. Calculate the total surface area of the square pyramid:
Total surface area = area of base + 4 * area of triangular face
Total surface area = 100 + 4 * 75
Total surface area = 100 + 300
Total surface area = 400 ft^2

Therefore, the surface area of the square pyramid is 400 ft^2.

None of the options provided match this result, so none of them are correct.