Question

A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to

cover the roof?

Answer 1

1280ft²

Explanation:

To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.

The area of the square base is

`{40}^(2) = 1600 {ft}^(2)`

The area of the four triangular faces is

`= 4 * (1)/(2) * 40 * 16 = 1280 {ft}^(2)`

In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof