The Finnish frontman doubled his miserable tally for the season as Chris Turner's strugglers blasted their way to their biggest win of the season and dragged themselves from the bottom of the table.
And it could have been more as Gary McAllister's woeful Coventry side crumbled under Wednesday's onslaught.
The Owls - still staring relegation in the face despite the emphatic win - could have been two up in the first two minutes but for keeper Fabien Debec's heroics.
But the Sky Blues keeper was beaten after eight minutes when Michael Reddy, on loan from Sunderland, claimed his first goal for the club rifling in a ten-yard shot after Paul McLaren's ball into the box looped up off Calum Davenport.
Wednesday had to weather a brief first-half fightback from Coventry and Matt Jansen was denied by a brilliant save from Paul Evans.
But Kuqi scored only his third goal of the season when he headed McLaren's 52nd minute cross powerfully home.
Coventry hit back two minutes later when Julian Joachim struck with a 22-yard shot after his first effort had ricocheted off a defender.
But McLaren got in on the act himself after 59 minutes with a spectacular 30-yard effort that stunned Debec as it went in off the underside of the bar.
Three minutes later Lee Bradbury, on loan from Portsmouth, scored his first goal for the club with a diving header after Alan Quinn's header was saved.
Kuqi - recently slammed by frustrated fans - rounded off the rout with Wednesday's fifth of the night in the 69th minute with a shot from the edge of the box that was too hot for Debec to handle.