Find the lateral area of a square pyramid with the base edge as 8 m and the height as 22 m.
The area consists of
a square of side 8
4 triangles of base 8 and height √(4^2+22^2)
see what you can do with that
To find the lateral area of a square pyramid, you need to calculate the sum of the areas of all four triangular faces.
To do this, first find the area of one triangular face and then multiply it by 4, since all four faces of a square pyramid are congruent.
The area of a triangle can be found using the formula:
Area = (base * height) / 2
In this case, the base of the triangle is the same as the edge length of the square base of the pyramid, which is 8 m.
So, the area of one triangular face is (8 m * 22 m) / 2 = 88 m².
Since there are four congruent triangular faces, the lateral area of the square pyramid is 4 * 88 m² = 352 m².
Therefore, the lateral area of the square pyramid is 352 square meters.