Since the 1995 season , the Hokies have finished with a top-10 ranking five times , won seven conference championships ( three Big East and four ACC ) , and played once for the national championship , losing to Florida State 46 – 29 in the 2000 Sugar Bowl . Annually , Virginia Tech plays its traditional rival , the University of Virginia , for the Commonwealth Cup , a game which Virginia Tech has won 15 years in a row since 1999
Big East
Big East Conference (1979–2013)
Virginia Tech