The roof of a building is shaped like a square pyramid, with a base of 18m by 18m. If the slant height of the roof is 12m and roofing costs 5.75m2, how much will it cost for roofing material?

if the pyramid has 4 sides does each side have 18m?

You have four triangles of base 18 and altitude 12

area = 4 * (1/2) * 18 * 12

multiply area by 5.75 to get cost

thanks

area roof= 4*1/2 * 18*12

cost= area * $5.72 That is pretty cheap roofing, about 50cents/square foot.

No, each side of the pyramid does not have a length of 18m. The base of the pyramid is a square with sides of 18m, but the sides of the pyramid itself are triangular in shape.

To calculate the area of each triangular side, we can use the formula for the area of a triangle, which is 1/2 * base * height. In this case, the base is the length of one side of the square base (18m), and the height is the slant height of the roof (12m).

So, the area of each triangular side is 1/2 * 18m * 12m, which equals 108m².

Since the roof is shaped like a square pyramid, it has four identical triangular sides. Therefore, the total area of the four sides is 4 * 108m², which equals 432m².

Now, we can calculate the cost of the roofing material. Given that the cost is 5.75m², we can multiply the total area of the four sides (432m²) by the cost per square meter (5.75m²):

Cost = Area * Cost per square meter
Cost = 432m² * 5.75m²
Cost ≈ 2484m²

Therefore, it will cost approximately 2484m² for the roofing material.