Prince pulled down seven boards while Brian Williams, Cameron Tatum and Bobby Maze each donated 10 for the Volunteers (23-7, 11-5 SEC), who are taking a three-game winning streak into next week's Southeastern Conference Tournament.
The game was decided early when Tennessee reeled off a 17-0 run to start the contest.
Mississippi State (21-10, 9-7) got 15 points from Kodi Augustus while Dee Bost and Jarvis Varnado each chipped in with 11.
Kate Middleton recycles dress at movie premiere
Couple mistakenly served bag of cash at McDonald's drive-thru