Ronald Dupree added 22 points, including 4-of-4 from behind the arc, while Torris Bright went 5-of-8 from 3-point range to finish with 19 points.
LSU (17-9, 6-8 Southeastern Conference) bested a school record it set Wednesday, when the Tigers went 16-of-25 in 3-point shooting.
The Vols (15-10, 7-7) have now lost four in a row after a six-game winning streak. Saturday's total was the most points given up by Tennessee this season.
The Tigers went ahead 10-0 in the opening minutes and never looked back to win its third straight game.
Tennessee, down 47-33 at halftime, started the second half with a 7-2 run to cut the lead to nine with 18 minutes to go after Jon Higgins made a pair of free throws. But LSU made three straight 3-pointers to push the lead back to 18 with 16:16 remaining.
The Vols couldn't stop the Tigers' outside shooting, sometimes leaving LSU players wide open behind the arc.
In one four-minute span in the second half, LSU made five 3-pointers, including two by Temple, and went ahead by 25 points.
The only bright spot for Tennessee was Higgins, who finished with 18 points, going 4-of-7 on 3-point shooting. Two of Higgins 3-pointers came in the final minutes of the first half, with his last hitting at the buzzer to cut the lead to 47-33.
Tennessee was hoping to get an at-large berth in the NCAA tournament by winning at least two of the final three games. Now the Vols will have to beat both Mississippi State and Vanderbilt to have a chance.
Slay made only two baskets and four free throws in the first half. He missed all four 3-pointers he attempted.