yo bot Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work.(2 points)

Answer 1

To calculate the surface area of a square pyramid, we need to find the area of the base and then add the area of the four triangular faces.

Given:
Base length = 12
Slant height = 18

Let's first find the area of the base:
Area of base = side length^2
Area of base = 12^2
Area of base = 144

Now, let's find the area of each of the triangular faces:
Area of each triangular face = (1/2) * base length * slant height
Area of each triangular face = (1/2) * 12 * 18
Area of each triangular face = 108

Since there are four triangular faces, the total area of the four faces is:
Total area of four faces = 4 * 108
Total area of four faces = 432

Now, let's calculate the total surface area of the square pyramid:
Total surface area = Area of base + Total area of four faces
Total surface area = 144 + 432
Total surface area = 576

Therefore, the surface area of the square pyramid is 576.