Abstract: The present invention comprises a protrusion cutting apparatus (30) for cutting a closed-cell foam product (32) comprising a support surface (36) adapted to support the foam product (32); a template (34) having an opening, the template (34) being movable relative to the support surface (36) to compress the foam product (32) between the support surface (36) and the template (34) so that a portion of the foam product (32)protrudes through the opening; a cutting tool (40) adapted to cut the foam product (32) adjacent to the template (34) so that the portion of the foam product (32) protruding through the opening is cut from the foam product (32); and one or more air vents (42) formed in the support surface (36) to allow air trapped between the compressed foam product (32) and the support surface (36) to escape.