Terrence Williams added 16 points for the ninth-seeded 49ers (17-13), who will face top-seed Louisiana in the quarterfinals. Shawn Lester chipped in 11 points and Ben Cherry and Marcus Bryan each tallied 10. Willie Clayton cleared 11 boards.
Chad Frazier finished with a game-high 19 points for the eighth-seeded Blazers (18-13). which also got 11 points from Tyler Madison and 10 from Denzell Watts.
Both teams shot well to start the game. UAB connected on 48.1 percent from the field, although it only hit 4-of-14 from beyond the arc. Charlotte was that much better, sinking 53.3 percent overall and 7-of-11 from 3-point range. The 49ers led 46-33 at the break.
In the second half Charlotte cooled to 44 percent shooting, but it hit 11- of-19 at the free-throw line, while the Blazers hit on just 6-of-16 at the charity stripe and connected on 40.6 percent from the floor.
For the game the 49ers sank 18-of-30 attempts at the free-throw line. UAB netted only 9-of-24.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged