A method and apparatus for making a structurally resilient package having a substantially box-shaped configuration is disclosed. A pillow pouch package is received onto a flighted conveyor. The pillow pouch package has a first squared end and an angular end located opposite to the first squared end. The pillow pouch package is received so that the first squared end rests on the flighted conveyor. Thereafter the pillow pouch package is conditioned at least in part by tamping the angular end with a tamping plate. The angular end of the package is subsequently heat treated to form a second squared end. A set of cooling plates is then applied to the second squared end to set the final shape and form the structurally resilient package having a substantially box-shaped configuration.