A layup and free throw by Young gave the Cyclones a 24-17 lead in the first half.
West Virginia countered with a 19-2 run. Miles McBride scored on a dunk and followed with a jumper, giving the Mountaineers a 34-26 advantage.
Iowa State missed nine straight shots as West Virginia seized control. The Mountaineers were up 42-31 at halftime.
Iowa State’s Harris made 5 of 8 3-point attempts, helping keep the Cyclones in contention.
West Virginia made just two 3-pointers in the second half, and hit 10 of 12 free throws.
“We’ve just got to close out games,” Sherman said. “We’ve got to put teams away.”
BIG PICTURE: West Virginia is one of six Big 12 teams ranked among the Top 25 and looks on pace to make its 10th NCAA Tournament appearance in 14 seasons under coach Bob Huggins. Iowa State continues to reel from COVID-related issues and is on pace for its worst season since the 1970s.