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Finding area from volume and thickness

  • Thread starter cheerspens
  • Start date
  • #1
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Homework Statement


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?


Homework 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.


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!
 

Answers and Replies

  • #2
33,505
5,191

Homework Statement


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?


Homework 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.


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!
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.
 
  • #3
CWatters
Science Advisor
Homework Helper
Gold Member
10,529
2,295
Volume = area x thickness

so

area = volume/thickness

in appropriate units obviously.
 

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