# The average temperature in the box

1. Jan 22, 2013

### whynot314

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$^{-x-y-z}$

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

3. The attempt at a solution

2. Jan 22, 2013

### 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?

3. Jan 22, 2013

### whynot314

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

4. Jan 22, 2013

### Dick

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

5. Jan 23, 2013

### whynot314

yes, thank you.