The Colonials (7-18, 5-7 Northeast) shot 55 percent from the field despite going 4 of 15 from beyond the arc. They dominated the boards, 42-27, led by Rodney Pryor's 11. Pryor added 14 points on 5-of-9 shooting.
Bryant (7-18, 4-8) was led by Nisre Zouzoua with 17 points. Curtis Oakley had 16 points and Marcel Pettway added 11.
The Bulldogs led early, but Robert Morris made a 14-3 run midway through the first half and led 44-37 at the break.
The lead grew to 17 after an eight-point spurt early in the second half, as Giles threw down a dunk and followed with a putback of his own miss on the next possession.