To calculate the surface area of a square pyramid, we need to find the areas of the square base and the four triangular faces, and then add them together.
The area of the square base is given by A = s^2, where s is the length of the side of the square base. In this case, the base length is 12, so the area of the square base is 12^2 = 144.
Next, we need to find the area of the four triangular faces. Each face is a right triangle with one leg equal to half of the base length and the other leg equal to the slant height. The area of a triangle can be found using the formula A = 0.5 * base * height.
The base of each triangular face is half of the base length of the pyramid, so 12/2 = 6. The slant height is given as 18.
Calculating the area of one triangular face: A = 0.5 * 6 * 18 = 54.
There are four triangular faces, so the total area of the four faces is 4 * 54 = 216.
Finally, we add the area of the square base to the area of the four triangular faces: 144 + 216 = 360.
Therefore, the surface area of the square pyramid is 360 square units.
Calculate the surface area of the square square pyramid that has a base length of 12 and a slant height of 18
1 answer
1 answer