A substantially flat and planar dust cover has at least one opening formed through it near at least one edge for receiving a stacking tab on an open-topped container when the dust cover is applied to the container. A narrow strip of material is defined between the opening and an outer edge of the dust cover, and a strip of reinforcing tape is embedded within the edge of the dust cover to reinforce the narrow strip of material and prevent tearing of it or surrounding portions of the dust cover. A tongue shaped friction lock is integrally formed in the opening to capture the stacking tab.