The Rams have also won the only previous meeting between these schools heading into Friday night's semifinal matchup with the fifth-ranked Blue Devils at the Battle 4 Atlantis in Nassau, Bahamas.
VCU (3-1) reached the Final Four two seasons ago and the third round of the NCAA tournament last season. Duke (4-0) exited in the first round last March and the round of 16 in 2011 since winning its most recent national title in 2010.
The Rams may have ushered in their recent era of success in 2007 when they ended a 22-year drought without an NCAA tournament victory by beating the Blue Devils 79-77 in the first round.
"Playing Duke, what an incredible opportunity,'' VCU coach Shaka Smart said. "We'll be facing arguably the best program in the nation and with no argument the best coach in the modern era.
"But we won't fold up to the test.''
More than five years later since these schools last met, Duke will try to gain some revenge behind Mason Plumlee. The 6-foot-10 senior is averaging 21.3 points on 71.4 percent shooting after he had 20 points and 17 boards in Thursday's 89-71 victory over Minnesota.
"Maturity is what you need to be this good," coach Mike Krzyzewski said. "Most kids don't figure that out. He has. And it wasn't a case of him being immature before, he has just matured."
Plumlee figures to be a handful for VCU's frontcourt.
The 6-9 Juvonte Reddic is the Rams' best post player, although he was held to eight points Thursday after averaging 16.3 on 63.3 percent shooting in his first three contests.
Duke finished at 54.5 percent from the field against a Golden Gophers team that entered leading the nation in defensive field-goal percentage at 28.6.
Cook, Curry and freshman guard Rasheed Sulaimon will have to deal with the Rams' famed "havoc" defense.
VCU scored 33 points off 22 turnovers Thursday, building an early 16-point lead and holding off a late rally. The Rams entered averaging an NCAA-best 14.1 steals, and had 14 versus the Tigers.
"We had them on their heels in the first half,'' Smart said. "The overall style of play took a lot out of both teams but we practice that way.''
The Rams drained 13 3-pointers for the second consecutive contest and have gone 26 for 47 (55.3 percent) from beyond the arc in those wins.