Graham, a sophomore, scored eight of his 19 points from the free-throw line. Reddic, who leads the Atlantic 10 Conference in rebounding, finished with 18 points and 12 rebounds -- seven on the offensive end.
Rhode Island trailed 43-41 before VCU reeled off seven straight to take a 50-41 lead. Rhode Island got no closer than five the rest of the way.
VCU (17-5, 5-2) has won 15 of their last 18 true road games dating back to December of 2011 and improved to 8-0 under head coach Shaka Smart coming off back-to-back losses.
Xavier Munford, who entered the game ranked second in the A-10 in scoring, finished with 17 points for Rhode Island (6-13, 1-5).
VCU converted 18 of 25 free throws.
Nike Youth VCU Rams Gold Basketball Practice T-ShirtShop
The dust has settled after players made their NBA draft decisions. Which college teams won? Which lost? Well, Villanova is pretty happy. USC, meanwhile, might not be as thrilled.
The 2017 recruiting class is short on point guards, with Trevon Duval leading only eight prospects from the ESPN 60 who are still available.
ESPN college basketball reporter Andy Katz looks into the two decommitments from the NBA draft and what they're looking forward to.