A partly-full paint can has 0.40 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 = 11 m2), how thick is the layer of wet paint? Give your answer in meters
To solve this problem, we need to convert the volume of paint from gallons to cubic meters.
(a) Converting gallons to cubic meters:
1 gallon is equal to approximately 0.00378541 cubic meters.
To convert 0.40 gallons to cubic meters, we can multiply it by the conversion factor:
0.40 gallons * 0.00378541 cubic meters/gallon = 0.001514164 cubic meters.
Therefore, the volume of the paint is approximately 0.001514164 cubic meters.
(b) To find the thickness of the layer of wet paint, we need to divide the volume of the paint by the wall area.
Thickness = Volume of paint / Wall area.
Substituting the values:
Thickness = 0.001514164 cubic meters / 11 m^2.
Evaluating this expression:
Thickness ≈ 0.00013765 meters.
Therefore, the thickness of the layer of wet paint is approximately 0.00013765 meters.