The information on a one-gallon paint can is that the coverage, when properly applied, is 450 ft sq. One gallon is 231 cubic inches. What is the avg. thickness of the paint in such an application?

Please explain how to do this. The answer should be in inches.

Paint thickness multiplied by area covered should equal the volume of paint.

Let T = thickness of paint.
T = (volume of paint) / (area covered)
T = (231 in^3) / (450 ft^2)

Convert 450 ft^2 to its equivalent in in^2, divide, and you have the answer in inches.

THANK YOU!!

To find the average thickness of the paint, we need to convert the given measurements to a common unit and then divide the volume of paint by the area it covers.

1. Convert the volume of paint from gallons to cubic inches:
- Since one gallon is equal to 231 cubic inches, we can multiply 1 gallon by 231 cubic inches/gallon:
1 gallon * 231 cubic inches/gallon = 231 cubic inches

2. Calculate the thickness of the paint:
- We are given that the coverage of the paint is 450 square feet, which means it covers an area of 450 square feet with 1 gallon of paint.
- To find the thickness in inches, we need to convert the area from square feet to square inches because the volume is in cubic inches.
- Since 1 square foot is equal to 144 square inches (12 inches * 12 inches = 144 square inches), we can multiply the coverage by 144 square inches/square foot:
450 square feet * 144 square inches/square foot = 64,800 square inches

3. Divide the volume of paint by the area it covers to find the average thickness:
- To find the average thickness, divide the volume of paint (231 cubic inches) by the area it covers (64,800 square inches):
231 cubic inches ÷ 64,800 square inches = 0.00356 inches (rounded to five decimal places)

Therefore, the average thickness of the paint, when properly applied, is approximately 0.00356 inches.

To find the average thickness of the paint in such an application, we need to convert the given information into a usable form and utilize a mathematical formula. Here are the steps to calculate the average thickness:

Step 1: Determine the volume of paint in cubic inches
To calculate the volume of the paint, we know that one gallon is equal to 231 cubic inches. Therefore, the volume of paint in cubic inches is 231.

Step 2: Calculate the area in square inches
Since we know that the coverage of the paint, when properly applied, is 450 square feet, we need to convert this to square inches. One square foot is equal to 144 square inches (12 inches x 12 inches). Therefore, the area in square inches is calculated as follows:
450 square feet x 144 square inches = 64,800 square inches.

Step 3: Divide the volume by the area to find the average thickness
Now that we have the volume of paint in cubic inches and the area in square inches, we can divide the volume by the area to find the average thickness. The formula for calculating the average thickness is:

Average thickness = Volume ÷ Area

Substituting the values we found:
Average thickness = 231 cubic inches ÷ 64,800 square inches

Step 4: Perform the calculation
To find the average thickness, divide the volume of paint in cubic inches by the area in square inches:
Average thickness = 0.003558 inches.

Therefore, the average thickness of the paint in such an application is approximately 0.003558 inches.