A painter needs to cover a triangular region 63 meters by 66 meters by 73 meters .A gallon of paint covers 70 square meters.How many gallons will be needed?

Answer 1

The first step is to find the area of the triangular region. We can use Heron's formula to calculate the area:

s = (63 + 66 + 73) / 2 = 101

area = √(101(101 - 63)(101 - 66)(101 - 73)) = 2016.39 square meters

Next, we need to determine how many gallons of paint we will need to cover this area. Since one gallon of paint covers 70 square meters, we can divide the total area by 70 to get the number of gallons needed:

2016.39 / 70 = 28.80 gallons

Therefore, the painter will need 28.80 gallons of paint to cover the triangular region.