A container made from corrugated paperboard has more than four sides and is constructed to resist distortion when force is applied to the ends or sides of the container, and also to resist crushing when containers are stacked on top of one another. In one embodiment, the container has six sides, with two side walls, two end walls, and two diagonally opposed diagonal corner panels and two diagonally opposed square corners. In another embodiment, the container has seven sides, with two side walls, two end walls, and three diagonal corner panels and one square corner. In a further embodiment, the container has eight sides, with two side walls, two end walls, and four diagonally opposed diagonal corner panels. In this embodiment, the diagonal corner panels are oriented so that they subtend an angle of from about 35.degree. to about 40.degree., and preferably 38.degree., with respect to the longitudinal axis of the container. The diagonal corner panels in the other embodiments may also be oriented at 38.degree., or from about 35.degree. to about 40.degree..