The Hungarians managed only 13 shots to the Finns' 44, who scored five times in the final frame en route to their third triumph of the group stage.
Armia, who scored in his second game of the tournament on a splendid feed from Kaapo Kakko, returned the favor during the second period, serving a cross-crease pass on a platter for his linemate who tapped it into the Hungarian net.
With 59 seconds remaining in Friday's contest, the forward entered his name in the goal department, navigating through the neutral zone, before beating Bence Balizs glove side.
On top of a goal and an assist, Armia registered four shots on goal in 18:57 of ice time.
Coming up
Set your alarm clock early (early, early!) to watch the United States square off with Denmark on Saturday. The Americans, featuring Lane Hutson, Sean Farrell and Luke Tuch, will meet Frederik Dichow at 5:20 a.m. ET at Nokia Arena.
USA (4-0-0-0) currently sit atop Group A, while the Danes (2-1-0-1) occupy the fourth position.
One spot ahead of them are Finland (3-0-1-1), who will be back in action for a second time in less than 24 hours when they take on Austria (0-0-1-3) at 9:20 a.m. ET.
In Group B, Justin Barron, Sam Montembeault and Team Canada (3-1-0-0), are set for a date with Switzerland (4-0-0-0) at 9:20 a.m. ET at Arena Riga.
