How Thick Is the Paint on the Room's Walls?

[tensirk]

Homework Statement

You use exactly 3.0 gallons of paint to paint the walls of a room that measures 12 meters long by 12 meters wide by 8.0 meters high. How thick is the layer of paint that you put on the four walls? (No windows or doors) Use the conversion 1 gallon = 3.79 x 10^-3m³.

Homework Equations

Possibly:
Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
or
Volume of a Rectangular Prism = a b c
or Thickness= V/Area

The Attempt at a Solution

I converted the 3 gallons to m³ and got .01137 m³. I just am not really sure what to do next. I've tried playing around with the different formulas above, but nothing seems to come out right. The answer is supposed to be 3.0 x 10^-5m. Seems like this question should be really easy...and it's making me feel really dumb for being unable to solve it. Any help would be much appreciated! Thanks!

 

[Spinnor]

You should know that the area of the walls times the thickness of the paint folm is a volume, and you know what that volume is,

V = 3 * [1 gallon = 3.79 x 10-3m3] = A * t

A = 12*8 + 12*8 + 12*8 + 12*8

Solve for t

Good luck!

 

[PeterO]

Homework Statement

You use exactly 3.0 gallons of paint to paint the walls of a room that measures 12 meters long by 12 meters wide by 8.0 meters high. How thick is the layer of paint that you put on the four walls? (No windows or doors) Use the conversion 1 gallon = 3.79 x 10^-3m³.

Homework Equations

Possibly:
Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
or
Volume of a Rectangular Prism = a b c
or Thickness= V/Area

The Attempt at a Solution

I converted the 3 gallons to m³ and got .01137 m³. I just am not really sure what to do next. I've tried playing around with the different formulas above, but nothing seems to come out right. The answer is supposed to be 3.0 x 10^-5m. Seems like this question should be really easy...and it's making me feel really dumb for being unable to solve it. Any help would be much appreciated! Thanks!

Don't forget you are not painting the roof or floor. What is the area of the walls? Area x Thickness = Volume of paint. It works out...