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Finding area from volume and thickness

  1. Aug 24, 2012 #1
    1. The problem statement, all variables and given/known data
    How large a surface are in units of square feet will 1 gallon of paint cover if we apply a coat of paint that is 0.15 centimeters thick?


    2. Relevant equations
    There is no shape given that the paint must cover to know which volume and area equation to use. There must be some equation I do not know involving volume, area and thickness to solve this problem.


    3. The attempt at a solution
    All I have been able to do is conversions to different units. I don't know where to begin. Thanks for any help you can give!
     
  2. jcsd
  3. Aug 24, 2012 #2

    Mark44

    Staff: Mentor

    I would convert the 0.15 cm thickness to units of feet. You can assume that the paint will cover a square area that is L ft on each side. The paint will then be in the shape of a very thin box L x L x thickness.
     
  4. Aug 25, 2012 #3

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    Volume = area x thickness

    so

    area = volume/thickness

    in appropriate units obviously.
     
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