A partly-full paint can has 0.83 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 12 m2), how thick is the layer of wet paint? Give your answer in meters.

1 gallon = 0.003785411784 m3

0.83 gallon =0.00314 m³
h=V/A = 0.00314 m³/12 m²= 2.62•10^-4 m = 0.262 mm

Well, after you find the answer to (a) which is simply conversions, you take the answer and divide it by the wall area i.e. 12m^2 in your case.

To solve this problem, we need to convert the volume of paint from gallons to cubic meters. We can use the conversion factor that 1 U.S. gallon is equal to approximately 0.00378541 cubic meters.

(a) Volume of Paint in Cubic Meters:
To find the volume of the paint in cubic meters, we'll multiply the volume in gallons by the conversion factor:
0.83 gallons * 0.00378541 cubic meters/gallon ≈ 0.00313068 cubic meters.

So, the volume of the paint is approximately 0.00313068 cubic meters.

(b) Thickness of Wet Paint Layer:
To find the thickness of the wet paint layer, we need to divide the volume of paint by the wall area.

Thickness = Volume of Paint / Wall Area
Thickness = 0.00313068 cubic meters / 12 m^2 ≈ 0.00026089 meters.

Therefore, the thickness of the wet paint layer is approximately 0.00026089 meters.

To convert the volume of paint from gallons to cubic meters, we need to use a conversion factor.

(a) To begin, we should know the conversion factor between gallons and cubic meters. 1 U.S. gallon is equal to approximately 0.00378541 cubic meters.

To calculate the volume of paint in cubic meters, we can multiply the volume in gallons (0.83) by the conversion factor:
Volume in cubic meters = Volume in gallons * Conversion factor

Volume in cubic meters = 0.83 * 0.00378541

Using a calculator, we find that the volume of paint in cubic meters is approximately 0.0031349332 cubic meters.

(b) Now, let's determine the thickness of the wet paint layer on the wall. We have the wall's area, which is 12 square meters, and the volume of paint in cubic meters, which is 0.0031349332 cubic meters.

To find the thickness of the wet paint layer, we need to divide the volume of paint by the wall's area:
Thickness = Volume of paint / Wall's area

Thickness = 0.0031349332 cubic meters / 12 square meters

Using a calculator, we find that the thickness of the wet paint layer is approximately 0.0002612444 meters.