I have this problem, but I didnt have the correct answer for the mass:

the correct answer is 1/12 for the mass. Can someone tell me if my setup is correct?

I set it up as a triple integral, with 0 to 1 for my x bound, 0 to 2-x for my y bound, and 0 to 2 for my z bound. Im integrating x dz dy dx.