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A 2'-6" door opening or 30" is the average door for most rooms.
If the there is no height or width dimension that is narrower than the doorway then the sofa will not go through. Certainly the 40 inch depth is too big. You may have to take a window out!
I believe that the average width of a pencil is 0.25 inchs or 0.6 centimeters.
No. Consider the 40 x 40 cross section. No matter how you rotate it, it will have a minimum width of 40 units which will not get through a doorway that is 30 units wide.