Thanks for the answer but I don't wish to calculate the integral , just write it in different orders. I found out the Reduce function to be the closest to what I'm looking for:

The red rectangle represents the right answer for the dydxdz order (it integrates from the outside to the inside apparently) but how can I do to clean the excess useless conditions?
Moreover, the teacher that did this, only typed the inequalities and it automatically plotted and gave him the integrals, amazing.
Thanks