# Finding area from volume and thickness

## 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!

Mark44
Mentor

## 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.

CWatters
Homework Helper
Gold Member
Volume = area x thickness

so

area = volume/thickness

in appropriate units obviously.