I've researched the forums, still having the problem of visible black edge lines when they should be hidden behind other geometry.
Turning off backface culling and changing the render order numbers have not helped.
Do I need to set up my materials in 3ds Max V8 differently?
Thanks in advance.

I solved my own problem... after much experimenting. Simply turning off Anti-Aliasing on each piece of geometry elimates the black edge lines. Not as nice of a render, but far better than the lines showing through.