Flux of Vector Field F out of Cube: 1

[sci-doo]

Homework Statement

What is the flux of vector field F = xi + zj out of the cube that has corners in (0,0,0),(1,0,0),(0,1,0),(0,0,1),(1,1,0),(1,0,1),(0,1,1),(1,1,1).

The Attempt at a Solution

Is it 1?

Divergence = del dod F = 1
Triple integral of divergence= SSS 1 dx dy dz each from 0 to 1
= 1

I don't have a solution for this one, so I'd like to know if I got it right.

 

[quantumdude]

Yes, it's 1.

 

[sci-doo]

Yes, it's 1.

Thanks!