Question

solve for a surface are of the square pyramid if its 15ft and 9.9ft

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a square pyramid, we need to add the area of the base (which is a square) to the sum of the areas of the four triangular faces.

Given that the side length of the square base is 15 ft and the slant height of the pyramid is 9.9 ft, we can find the surface area as follows:

1. Find the area of the base:
Area_base = side_length^2
Area_base = 15^2
Area_base = 225 ft^2

2. Find the area of each triangular face:
Area_triangle = (1/2) * base_length * height
Area_triangle = (1/2) * 15 * 9.9
Area_triangle = 74.25 ft^2

3. Find the total surface area:
Surface_area = Area_base + 4 * Area_triangle
Surface_area = 225 + 4 * 74.25
Surface_area = 225 + 297
Surface_area = 522 ft^2

Therefore, the surface area of the square pyramid is 522 ft^2.