Disclosed is a lid commonly used for attachment atop dumpsters, trash bins, or waste containers of the type having a circular cross-sectioned lid rod. The lid comprises a three-dimensional rectangular structure reinforced by contoured ribs running lengthwise and further having the capability of being hingedly operated at either the front end or the rear end of the lid. Co-axial, horizontally-oriented circular apertures are provided proximate the front end and rear end of each of the ribs. The apertures permit the hinged attachment of the lid to the waste containers. In this manner, an advantage accrues to a commercial user in that, after a certain amount of wear and tear, the lid may be removed from the waste container and the opposite aperture end may then be attached to the lid rod and used for another extended period of time.