What is a paper box called?

Folding Cartons (also called Paperboard Boxes,Paperboard Cartons,example:cereal box)
Rigid Boxes (also called Set-up Boxes,example:phone box,jewelry box)
Corrugated Boxes (also called corrugated fiberboard,shipper boxes,cardboard boxes,used in both shipping and retail environments.

What is the difference between boxes and cartons?

While both boxes and cartons are made out of paper materials,cartons are usually thinner of the two.You'll see it used in cereal boxes,
milk cartons,pharmaceuticals,and more.A box,on the other hand,uses thicker paper stock that is mostly meant for shipping.

What is the use of paper box?

Paper boxes are a type of product that is often used for packing.These boxes are intended to hold,protect,display,or carry a variety of 
commodities in both industrial and consumer settings.