In the long run, I am pretty sure that each square face is actually just two triangles. Even a 6 sided polygon is actually just 4 triangles with the seams hidden. You could probably use smoothing groups to get what you are looking for though.
I prefer modeling with triangles. If planned accordingly, you can get some more defined edges and angles. For example, I was able to use triangles to get certain angles on this ship:
For a more immediate fix, however, in the modifier rollout, choose "Smooth", Check "Autosmooth", and then set the threshold to a suitable number. Maybe around 10,20,or 30.
Hope this helps!
There's something in this room that makes you can't speak well.