But wont this stop it from opening? Sorry i no I'm being really stupid just not totally sure what you mean :s
I have put a lid on a 4 x 2 like this
No rods or anything but we have used connectors.
It's not stupid at all. It's difficult to explain without pictures. The wood is only attached to the lid so that you have a rigid frame. You then attach the lid to one side of the base with cable ties to act as a hinge.