Mbang had 13 points in a span of 4:09 as the Rams (19-3, 5-2 Atlantic 10) took control with a 20-7 run in the second half. Mbang capped his streak by knocking down a 3-pointer with 12:15 left to play that gave the Rams a 56-38 lead.
Dayton (15-5, 3-4), which lost for the fourth time in five games, shot 2-of-13 from 3-point range. Brian Roberts, who led the Flyers with 17 points, connected on the team's first 3-point field goal with 8:11 to play.
Rhode Island hit 11-of-26 from beyond the arc with Mbang and Baron leading the Rams with four 3-pointers each. Parfait Bitee's 3 in the final seconds of the first half sent Rhode Island into halftime with a 36-27 lead.
The Flyers' London Warren finished with 13 points and 10 rebounds, both career highs.