Lenzelle Smith Jr. contributed 15 points and Aaron Craft also reached double figures with 13 and six assists as the Buckeyes (2-0) moved on to the Naismith Bracket championship game in the Hall of Fame Tip-Off Classic.
Rhode Island (0-3) kept it close until the latter stages of the contest, when Ohio State went on a run to extend its 3-point lead.
Xavier Munford led the Rams with 16 points.
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