Williams scored 20 points and Culpepper added 18 as the Miners (22-5, 13-1 CUSA) proved deadly from field in the early going, shooting 58.6 percent in the first half en route to a 45-34 halftime lead.
UTEP used the hot shooting to compensate for 21 turnovers in the contest.
Rice (8-20, 1-13) was led by Arsalan Kazemi with 12 points and seven rebounds while Lawrence Ghoram chipped in with 11 points in the loss.
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