Orifice rhymes with:
edifice, adolphus, amorphous, beilfuss, cephus, delfosse, dreyfus, dreyfuss, duffus, edifice, ifas, interoffice, jeffus, josephus, memphis, office, preface, resurface, rothfuss, rufus, searfoss, snafus, stoltzfus, subsurface, surface, typhus, ziegenfuss
Orifice sounds like:
oravec, orbach, orbis, orebaugh, oreffice, orefice, orifices, oropeza, orpheus, orphic, orvis