An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side lengths of 12 feet, and 4 triangular sides with a base of 12 feet and height of 15 feet. The artist decides to cover the metal structure with 1-foot square glass tiles. How many tiles will she need to cover the pyramid?

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

it is impossible.