Cellular solids combine the properties of the solid material that forms the cell walls and edges with the properties of the matter that fills the cells. This results in unique properties that for many applications are superior to the properties of the single-phase, solid materials. Presented herein, accordingly, are an apparatus and a method for the manufacture of cellular solids with predictable microstructure. The apparatus includes an internally hollow housing defining an extrusion channel, a cell-fluid feeding unit for injecting cell-fluid into the extrusion channel, a conveying element, and a mold or a surface. The method includes injecting cell-fluid into a plasticized matrix in the extrusion channel to form a plasticized foam and dispensing the plasticized foam through an exit port of the extrusion channel into a mold or on a surface.