Mattresses and cushions, methods of making mattresses and cushions, and patient supports comprising a mattress and/or a cushion. At least some embodiments of the present mattresses and cushions comprise a body with air-impermeable material having a plurality of openings, and a cover sheet comprising air-permeable and liquid-impermeable material covering at least a portion of the plurality of openings and coupled to the body by a liquid-impermeable welded seam encircling the covered one or more openings.