1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Unit Conversion-Paint Problem

  1. Oct 25, 2012 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    1 Liter is 1000cm^3
    1 foot is .3048m
    centi is 10^-2

    3. The attempt at a solution
    convert ft to m
    400ft * .3048m/1ft = 121.92m
    convert m to cm
    121.92m is 12192 cm
    12192 cm is 12.192 Liter
    1 gal = 3.78541 L

    I look at the appendix but there is no equation for f^2 or m^2/L. Need help. =]
    Last edited: Oct 25, 2012
  2. jcsd
  3. Oct 25, 2012 #2
    You have units of ft^2/gallon and you need to convert to m^2/L.

    You have already done the ft to m conversion, now you need to do gallons to litres.
  4. Oct 25, 2012 #3
    There's got to be a way in a physics problem. Here's a picture of the problem. =]
  5. Oct 25, 2012 #4
    Sorry, I think I ninja-edited while you were quoting (perhaps). Read it now and it should be fine.
  6. Oct 25, 2012 #5
    400ft^2/1 gal * .3048m/1ft = 121.92m^2/1 gal

    121.92m^2/gal * 1 gal/3.78541 Liter = 121.92m^2/3.78541 Liter. Now divide 121.92/3.78541 Liter to turn it into 1 liters and you get 32.2 m^2/ 1 Liter.
  7. Oct 25, 2012 #6
    Not quite, remember it's ft^2 and m^2 so you have to do that conversion twice.
  8. Oct 25, 2012 #7
    oh boy. let's see. i think I found the problem. heres the fixed conversion!

    400ft^2/ 1 gal * .3048m/1ft = 400 ft/1gal * .3048 m * .3048m/1ft * 1 gal/3.7854L = (400)(.3048m)(.3048m)/(3.7854L) = 37.161216m^2/3.78541 L. To make it one liter it would be 9.8169 m^2/1 L
  9. Oct 25, 2012 #8
    Looks good to me. If that isn't working then double-check where you got the gallon-litre conversion; I know that a US gallon is different to a UK gallon and I don't know which countries use MasteringPhysics either!
  10. Oct 25, 2012 #9
    whew that was a lot of work! i forgot to round but its 9.82m^2/1 Liter. I got the gallon to liter conversion from google so it could be U.S and i got it correct. Thanks for the guidance! This problem sure stressed me out! =]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook