That depends on the type of material used for printing the box. If it is rigid paperboard, there's no need to worry about your printed boxes breaking easily. It can also handle items with sharp edges without being damaged significantly.
Cardstock is also suitable for making sturdy and durable boxes. However, it cannot withstand shipping and retail handling without the help of secondary packaging solutions.
Corrugated cardboard is by far one of the best options for strong and sturdy packaging. It is cheap, recyclable, made of recycled material, and can handle items with sharp edges without being damaged significantly.