Green grabbed seven rebounds while Jarell Eddie supplied a double-double of 15 points and a game-best 12 rebounds for the Hokies (7-0).
Cardarian Raines also reached double figures with 10 points in the victory.
The Cowboys (5-1) were defeated for the first time this season despite 18 points and 11 boards from Marcus Smart.
Le'Bryan Nash helped out with 18 points for OSU.
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