Abstract: A molded body having a profiled cross-section, such as a grinding or polishing tool, is cast in a mold by pouring foaming synthetic material into a molding cavity closable on all sides except for holes in the end walls of the molding cavity through which a contouring insert member having a profiled surface extends to pass through the entire molding cavity and possibly even through several molding cavities arranged in axial alignment with one another. A sealing device (22) is provided adjacent each end wall for closing and sealing the profiled gap between the contouring insert member and the hole in the adjacent end wall. The sealing devices are adjustable to differently profiled inserts and assure that a molded body or tool is produced which has precise, prismatic and parallel surfaces and edges.