A square pyramid each side of the base has a length of 60 m and the height of each triangle is 20 m. What is the lateral area of the pyramid?
the slant height is the height of each triangular face.
Since you know how to find the area of a triangle, multiply that by 4, the number of faces.
To find the lateral area of a square pyramid, we need to calculate the sum of the areas of the four triangular faces.
The formula to calculate the area of a triangle is: A = (1/2) * base * height
In this case, the base of each triangle is the side length of the square base of the pyramid, which is 60 meters. The height of each triangle is given as 20 meters.
Using the formula, we can calculate the area of one triangle as:
A = (1/2) * base * height
= (1/2) * 60 * 20
= 600 square meters
Since there are four triangular faces on the square pyramid, the total lateral area is:
Total lateral area = 4 * area of one triangle
= 4 * 600
= 2400 square meters
Therefore, the lateral area of the square pyramid is 2400 square meters.