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.
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Leaving early for the NBA is a risky decision. Some players -- Skal Labissiere, Dejounte Murray -- slid in the draft. Some -- Isaiah Taylor, Troy Williams -- weren't drafted at all.
College basketball coaches across the country will hit the recruiting trail hard in July to target the Class of 2017's top prospects. Which players are the nation's top programs targeting?
The Tar Heels could lose Justin Jackson and Kennedy Meeks after next season. Coach Roy Williams has nearly every top-10 2017 prospect on his board.