Finding area from volume and thickness

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SUMMARY

The discussion focuses on calculating the surface area that 1 gallon of paint will cover when applied at a thickness of 0.15 centimeters. The key equation used is area = volume/thickness, which allows for the determination of surface area based on the volume of paint and its thickness. The conversion of thickness from centimeters to feet is essential for accurate calculations. Participants emphasize the need for a clear understanding of volume, area, and thickness relationships to solve the problem effectively.

PREREQUISITES
  • Understanding of volume and area equations
  • Knowledge of unit conversions, specifically from centimeters to feet
  • Familiarity with the concept of thickness in relation to surface area
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research unit conversion techniques, specifically converting centimeters to feet
  • Learn about the relationship between volume, area, and thickness in practical applications
  • Explore examples of calculating surface area from volume in real-world scenarios
  • Study the properties of paint coverage and how thickness affects surface area calculations
USEFUL FOR

This discussion is beneficial for students tackling geometry and physics problems, DIY enthusiasts planning painting projects, and anyone interested in understanding the practical applications of volume and area calculations.

cheerspens
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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!
 
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cheerspens said:

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.
 
Volume = area x thickness

so

area = volume/thickness

in appropriate units obviously.
 

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