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?
a= 1/3*b^2*h
hey im not sure what this means if i show this to my teacher hes going 2 ask how the total cost for roofing material can you show me please?
To find out how much it will cost for roofing material, we first need to determine the surface area of the roof.
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)
Let's calculate the surface area of the roof:
Base Area = (18m × 18m) = 324m²
Perimeter of Base = 4 × side length = 4 × 18m = 72m
Surface Area = 324m² + (0.5 × 72m × 12m)
Surface Area = 324m² + 432m²
Surface Area = 756m²
Now, we have the surface area of the roof, which is 756m².
To find the total cost for roofing material, we multiply the surface area by the cost per square meter:
Total Cost = Surface Area × Cost per square meter
Given that the cost of roofing is 5.75 per square meter,
Total Cost = 756m² × $5.75/m²
Total Cost = $4353
Therefore, it will cost $4353 for the roofing material.