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The average temperature in the box

  1. Jan 22, 2013 #1
    1. The problem statement, all variables and given/known data
    Im not really sure were I am going wrong in the problem there was a similar one in the textbook examples with a different temperature function and they just divided by 4. I really don' t know how my integration is wrong either please help the function if you cant read it is. T(x,y,z)= 128e[itex]^{-x-y-z}[/itex]

    [PLAIN]http://i1341.photobucket.com/albums/o745/nebula-314/IMAG0108_zps19442d3b.jpg[/PLAIN]
    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 22, 2013 #2

    haruspex

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    Your integration is fine, but you seem not to have understood why the other case divided by 4 at the end. The average value of some quantity f(x,y,z) over a region V is ∫f.dv/∫dv, right?
     
  4. Jan 22, 2013 #3
    To be honest, I did not know. The region in the example was also a box.
     
  5. Jan 22, 2013 #4

    Dick

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    The volume of the box in this case is log(2)*log(4)*log(8), yes? Not 4.
     
  6. Jan 23, 2013 #5
    yes, thank you.
     
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