The average temperature in the box

[whynot314]

Homework Statement

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 can't read it is. T(x,y,z)= 128e$^{-x-y-z}$

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

Homework Equations

The Attempt at a Solution

 

[haruspex]

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?

 

[whynot314]

To be honest, I did not know. The region in the example was also a box.

 

[Dick]

To be honest, I did not know. The region in the example was also a box.

The volume of the box in this case is log(2)*log(4)*log(8), yes? Not 4.

 

[whynot314]

yes, thank you.