A skirted toilet assembly, comprising a toilet bowl having a sump outlet; and a wall extending around the bowl from a first rear edge to a second rear edge; wherein the wall, the first rear edge, and the second rear edge define a space within the wall, the sump outlet is configured to couple to a trapway, the trapway is configured to fluidly couple the sump outlet with a sewer outlet, and the trapway is configured to be disposed within the space. A trapway may be a thermoplastic and the sump outlet a ceramic.