To calculate the surface area of a square pyramid, we need to find the areas of the base and the four triangular faces.
The area of the base can be calculated using the formula for the area of a square: side * side. In this case, the base length is given as 12, so the area of the base is 12 * 12 = 144.
Next, we need to find the area of each triangular face. The formula for the area of a triangle is 1/2 * base * height. The base of each face is 12 (the same as the base of the pyramid) and the height is the slant height, which is given as 18. So, the area of each triangular face is 1/2 * 12 * 18 = 108.
Since there are four triangular faces, the total area of all the triangular faces is 4 * 108 = 432.
Finally, we calculate the total surface area by adding the area of the base and the area of the four triangular faces:
Total surface area = base area + triangular faces area
Total surface area = 144 + 432
Total surface area = 576
Therefore, the surface area of the square pyramid with a base length of 12 and a slant height of 18 is 576.
Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18.
1 answer
1 answer