JaJuan Smith added 15 points, Ramar Smith 14 and Duke Crews had 10 points and nine rebounds for Tennessee (7-1), which earned its second consecutive win after losing to No. 8 Texas on Nov. 24.
Chris Gradnigo had 15 points and David Dees 14 for the unranked Ragin' Cajuns (1-4), who dropped their fourth in a row.
Tennessee moved out to a double-digit lead after six minutes of play and maintained it the rest of the way, with the final margin of victory representing its largest lead. The Ragin' Cajuns, who held three of their first four opponents to less than 50 percent shooting, allowed the Vols to hit 53 percent from the floor.
The first half was the problem for Louisiana-Lafayette, which made just seven of its 23 shot attempts and committed 14 turnovers that led to 17 Tennessee points. The Vols moved the basketball more efficiently, compiling 16 assists on 20 first-half baskets while committing just six turnovers.
NO. 3 MARYLAND 77, NO. 19 OHIO STATE 53
In College Park, Md., Crystal Langhorne scored 17 points and Marissa Coleman added 14 to lead Maryland in the women's Big Ten/ACC Challenge.
Laura Harper had 13 points and a team-high eight rebounds, and Kristi Toliver recorded 11 assists to help the Terrapins (10-0) become the first team in the country to reach double figures in victories. Four of those wins have come against ranked opponents.
Langhorne, a senior center, grabbed six rebounds to reach 966 for her career, two short of the school record held by Vicky Bullett. Langhorne has 44 points in three starts since returning from a sprained ankle that forced her to miss six of Maryland's first seven games.
Jantel Lavender had 16 points and 14 rebounds for Ohio State (5-2). The Buckeyes went 21 for 71 from the floor (30 percent) and missed 15 of their 21 shots from 3-point range.