Answer:
The surface area of the square pyramid with dimensions 17 ft x 9 ft x 17 ft is 595 square feet.
Explanation:
To calculate the surface area of a square pyramid, we need to add the area of the base to the sum of the areas of the four triangular faces.
For a square pyramid with side length s and slant height l, the surface area can be calculated as follows:
Surface area = s^2 + 2sl
where s is the length of one side of the square base, and l is the slant height of the pyramid, which is the height of each of the four triangular faces.
In your case, the dimensions given are 17 ft for the base and 9 ft for the height, which is also the slant height. Therefore, we can calculate the surface area as:
Surface area = 17^2 + 2(17)(9)
Surface area = 289 + 306
Surface area = 595