A partly-full paint can has 0.66 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 = 13 m2), how thick is the layer of wet paint? Give your answer in meters.

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To find the volume of the paint in cubic meters, we need to convert 0.66 U.S. gallons to cubic meters.

(a) Converting U.S. gallons to cubic meters:

1 U.S. gallon = 0.00378541 cubic meters

Therefore, 0.66 U.S. gallons can be calculated as:

0.66 U.S. gallons * 0.00378541 cubic meters/gallon = 0.002496 cubic meters.

So, the volume of the paint in cubic meters is 0.002496 cubic meters.

(b) To find the thickness of the wet paint layer, we need to determine the volume of the paint and the area of the wall.

Given that the volume of paint is 0.002496 cubic meters and the wall area is 13 square meters, we can find the thickness of the wet paint layer by dividing the volume of paint by the wall area.

Thickness of the wet paint layer = Volume of paint / Wall area
Thickness of the wet paint layer = 0.002496 cubic meters / 13 square meters.

Calculating this division, we find that the thickness of the wet paint layer is approximately 0.000192 meters (or 0.192 millimeters).

Therefore, the thickness of the wet paint layer is 0.000192 meters.