What is the surface area of a square pyramid with base length on 10 cm and slant height of 20 cm

Answer 1

To find the surface area of a square pyramid, we need to calculate the area of the base and the area of each triangular face.

The area of the base of a square pyramid is given by the formula:

Base Area = (side length)^2

In this case, the base length is 10 cm, so the base area is:

Base Area = 10 cm * 10 cm = 100 cm^2

The area of each triangular face of a square pyramid is given by the formula:

Face Area = (1/2) * (base length) * (slant height)

In this case, the base length is 10 cm and the slant height is 20 cm, so the face area is:

Face Area = (1/2) * 10 cm * 20 cm = 100 cm^2

Since a square pyramid has 4 triangular faces, the total surface area is obtained by adding the area of the base and the areas of the 4 triangular faces:

Total Surface Area = Base Area + 4 * Face Area = 100 cm^2 + 4 * 100 cm^2 = 100 cm^2 + 400 cm^2 = 500 cm^2

Therefore, the surface area of the square pyramid is 500 cm^2.