An accessory for an electric drill is disclosed as including a dust box for receiving abraded materials produced by an electric drill on a workpiece, the dust box including an internal cavity, a first longitudinal end with a first opening communicating with the internal cavity, an opposite second longitudinal end with a second opening communicating with the internal cavity, and a brush or a disc. When a drill bit of the electric drill is received into the internal cavity of the dust box through the second opening, the brush or disc is releasably engageable with the drill bit for simultaneous rotational movement about a longitudinal axis of the drill bit.