Seeing inside faces in transparent materials

Hi!
I have a graphics-related question:
The thing is I'm implementing a pre-fragmentation based destruction system, like the ones in most games, where destructible objects are already subdivided into several broken-looking objects (if that makes any sense). I'm currently using it for glass, and there is where the problem comes up:

I mean, you see it right? You literally SEE my problem, the side faces in the glass fragments can be seen through the main faces of other fragments and it's even more obvious with specularity and color tint. Besides the main problem is that those are different GameObjects, and not the same mesh, so usual workarounds for this problem might not work.
Thanks in advance!!