Bag-on-container assemblies and bag-in-container assemblies are disclosed. The container may include a paperboard box having a front wall, a rear wall, a pair of opposed side walls, a plurality of flaps capable of forming a bottom wall and a plurality of flaps capable of forming a top wall. The inside surfaces of the box walls, including the outwardly facing strips, may have a thermal plastic coating thereon. The bag component of each type of assembly may include a closure member for to enable resealing of the bag component.