Find the surface area of a square pyramid with side length 5 m and slant height 5 m.

1 answer

We can start by finding the area of the base. Since the base is a square with side length 5 m, the area is 5^2 = 25 square meters.

To find the area of each triangle face, we can use the formula A = 1/2 * base * height, where the base is 5 m (the side length of the base square) and the height is the slant height of 5 m.

A = 1/2 * 5 m * 5 m = 12.5 square meters

Since there are 4 triangle faces, the total area of the triangle faces is 4 * 12.5 = 50 square meters.

The surface area of the pyramid is the sum of the area of the base and the area of the triangle faces:

Surface area = base area + triangle face area = 25 square meters + 50 square meters = 75 square meters

Therefore, the surface area of the square pyramid with side length 5 m and slant height 5 m is 75 square meters.