A 1×12 design creates a product which is very long. It would be hard to fit a carton into a grocery bag, and holding it from one end could cause the torque from the eggs’ weight to overcome the strength of the paper, breaking the carton.
A 3×4 carton doesn’t have these problems, but a 2×6 carton is narrow enough to fit in the door of many refrigerators, while a 3×4 carton wouldn’t.
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