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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The Big 12/SEC Challenge will again feature Kansas and Kentucky, this time at Rupp Arena. That's not the only exciting matchup in next season's midseason conference showdown.
Northwestern has never made the NCAA tournament, but the Wildcats' upward trajectory suggests 2016-17 could finally be the season it happens.
Dillon Brooks, who led Oregon with 16.7 points per game last season, and Tyler Dorsey will opt out of the NBA draft process and return to the Ducks, sources told ESPN.