A fisherman has estimated that it takes 6 minutes to paint each square foot of the hull of his boat. How much time should the fisherman allow for the painting of the hull, if the hull were composed of two sides, each 31.5 feet by 8.00 feet?
1512.0 hours
25.2 hours
3024 hours
50.4 hours
my answer is 50.4
Right.
To find the time required for painting the hull, we need to calculate the total area of the hull and then multiply it by the time it takes to paint each square foot.
First, calculate the area of each side of the hull:
Area of one side = length * width = 31.5 ft * 8.00 ft
Next, find the total area of both sides of the hull:
Total area = 2 * (Area of one side)
After calculating the total area, multiply it by the time it takes to paint each square foot:
Total painting time = Total area * Time per square foot
Now, let's plug in the values and calculate:
Area of one side = 31.5 ft * 8.00 ft = 252 square feet (rounded to the nearest whole number)
Total area = 2 * 252 square feet = 504 square feet
Time per square foot = 6 minutes
Total painting time = 504 square feet * 6 minutes
To convert minutes to hours, divide by 60 (since there are 60 minutes in an hour):
Total painting time = (504 square feet * 6 minutes) / 60 = 50.4 hours
Therefore, the fisherman should allow 50.4 hours for painting the hull of the boat.
So, your answer of 50.4 is correct.