An inflatable shaping system has a frame, rectangular with four sides, similar to the rear of a trailer or truck. The frame has a hinged connection and swings from an over-the-road configuration and to a deflated stowed position against the side of the trailer. Upon the frame, the system has an inflatable body and a durable skin covering the frame and the inflatable body. The inflatable body has a continuous attachment to the frame. The inflatable body has at least one inflatable element connected by a flexible adhesive or device. The inflatable elements remain contained between the frame and the durable skin, generally outwardly from the trailer. In communication with the inflatable elements, a pump system supplies air for their inflation and removes air for their deflation. The pump system operates remotely in the vicinity of the truck.