A container has a base and walls connected to the base to define an interior space. The walls have upper edges that terminate in a plane and define an opening for access to the interior space. Wetted donnable articles are stacked within the container, each article in a flat configuration at least partially perpendicular to the opening permitting withdrawal of any one of the donnable articles through the opening in a flat configuration. Walls on opposing sides of the base of the container diverge from each other with increasing distance from the base, such that the interior space widens gradually toward the opening. Walls on other opposing sides of the base have lower portions connected to the base and upper portions connected to the lower portions by steps that lengthen the interior space abruptly.