but imagine, that You will have such a part in reality!
What will happen there, if there is a single point or line where the material will become zero?
Yes, exactly, the part will break there!
A zero volume will not be able in real world for one and the same part!
It will be possible if You have muliple parts there.
Best example for me here always was and is a ball bearing.
The balls have exact a point to point contact with outer and inner ring.
Until ST5 it was not possible to model such a part within one single part, we always needed an assmebly, even if a ball bearing is a single item for the engineer.
Or - what most of us did - we modeled it a little bit wrong, the balls diameter 0.01 of a mm bigger or smaller and everything was OK.
Since ST5 this will be over now, we can handle a Multi-Body-Part
And with ST10 it even will be possible to correct this situation during import into a part
This for me is a real practical functionality, together with the option to delete all inner holes from that body.
save the example as parasolid and import it back into a part.
You should get 2 bodies and looking at the connecting area of the should answer Your question.
Or at least should help to find where the problem might be.