A dunnage platform is in the general shape of a rectangular slab with legs (20-28) extending form one side. The dunnage platform is made from an expanded polystyrene core (10). A chemical combination process is used to chemically combine portion of the core proximal to its surface with high impact polystyrene. In a first of two parts of the combination process, the core is placed in a forming mold (50) with one of its two sides and two thirds of its thickness extending therefrom. A heated sheet (67) of high impact polystyrene is brought into contact with the portion of the core extending from the mold. In a similar manner, the other of the two sides of the core is made to extend from the forming mold for contact with a heated sheet of high impact polystyrene.