Solve for the surface area of the square pyramid the front bottom is 15 feet and the middle on the right side the length is 9.9 feet with the answer be 299.25 feet with a little two or 522 feet with a little two or 819 feet with a little two or 148.5 feet with a little two
To solve for the surface area of the square pyramid, we need to find the area of each of the five faces and then sum them up.
Given:
Front bottom side of the square pyramid = 15 feet
Middle right side of the square pyramid = 9.9 feet
First, find the slant height of the pyramid:
h = √(15^2 + (9.9/2)^2)
h = √(225 + 49.01)
h = √274.01
h ≈ 16.55 feet
Now we can calculate the surface area of the square pyramid:
1. Base area:
A_base = 15^2
A_base = 225 square feet
2. Four triangular faces:
A_tri = (1/2) * base * height
A_tri = (1/2) * 15 * 16.55
A_tri = 124.125 square feet
3. Sum up the areas of the four triangular faces:
A_total = 4 * A_tri
A_total = 4 * 124.125
A_total = 496.5 square feet
4. Add the base area to get the surface area:
Surface Area = A_base + A_total
Surface Area = 225 + 496.5
Surface Area = 721.5 square feet
Therefore, the surface area of the square pyramid is 721.5 feet with a little square. None of the provided answer options are correct.