The Penguins made it 1-0 on Trevor Daley's fourth of the season at 12:31 of the first period. After a long shift in the offensive zone, Daley gloved Teuvo Teravainen's clearing attempt, moved to the middle of the ice above the circles and shot past Cam Ward.
Pittsburgh went ahead 2-0 when Carl Hagelin scored on a rebound at 6:59 of the second. Ward stopped Cameron Gaunce's shot from the blue line, but the puck fell in front of Ward and Hagelin had an easy finish.
The Penguins scored two goals in 18 seconds to push the lead to 4-0. Sheary scored his 14th from the slot on the long rebound of Brian Rust's shot from the right point at 12:28.
One the following shift, the Penguins' strong forecheck resulted in Chris Kunitz scoring his fifth at 12:46. After Eric Fehr put the puck on net from the hash marks, Kunitz found the rebound between Ward's legs and poked it in. It was Fehr's 200th NHL point.
"We always want to have a guy net-front, and when the puck is laying there we want to find them," Sheary said. "Obviously, tonight we got a few that went our way."
Kessel's power-play goal extended the lead to 5-0 at 17:29. With Jeff Skinner in the penalty box for unsportsmanlike conduct, Kessel made a long cross-ice pass to Malkin before pinching in for the return pass, where he finished from a sharp angle.
Malkin extended the lead to 6-0 at 6:37 on a wraparound that appeared trapped at the post by Ward's skate before trickling in.
Hurricanes forward Viktor Stalberg snapped a 20-game goalless drought when he scored shorthanded at 7:09, winning a race to a loose puck and beating Murray below the glove to make it 6-1.
Sheary's second of the game put the Penguins up 7-1. He went to one knee to score on a behind-the-back pass from Crosby at 9:05.