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)
but do it like this first we need to find the surface area 1=2=3+5 or watever like that
To find the surface area of the square pyramid, we need to calculate the area of the base and the area of the four triangular faces.
1. Area of the base:
The base of the pyramid is a square, so the area of the base is base length squared.
Base length = 12
Area of the base = 12^2 = 144
2. Area of the four triangular faces:
The formula for the area of a triangle is (1/2) * base * height.
In this case, the base of each triangular face is the base length of the pyramid (12), and the height is the slant height of the pyramid (18).
Area of one triangular face = (1/2) * 12 * 18 = 108
Since there are four triangular faces, the total area of the four faces is 4 * 108 = 432
3. Total surface area of the square pyramid:
To find the total surface area, we add the area of the base and the area of the four triangular faces.
Total surface area = 144 + 432 = 576
Therefore, the surface area of the square pyramid with a base length of 12 and a slant height of 18 is 576 square units.