In this case the area behind the knee wall will be uncomfortably hot or cold.
Insulating a hip roof attic.
But the best solution is actually to insulate both the attic floor and the underside of the roof.
When hvac equipment is in the attic insulation and an air barrier at the roof line brings that equipment within the conditioned enclosure envelope thereby allowing it to operate in more favorable temperature and humidity conditions without air leakage and heat loss gain directly to the exterior.
This is a styrofoam shoot that you staple to the underside of the roof deck stopping the insulation from compressing against the underside of the roof and creating a 1 1 2 airspace for 4 to 8 long.
Insulating in and around your roof attic space also prevents long term damage from moisture build up or ice damming which results from the warm air trying to escape through the apex of the roof but instead heating up the snow.
At the same time the areas below the roof benefit from increased comfort both during the winter and the summer.
To meet all three goals insulating your finished attic ventilating the roof and maximizing headroom use a combination of dense batt insulation rigid foam sheeting and air chutes.
Additionally insulation serves as a way to enhance sound proofing on the uppermost envelop of your house.
In this way you prevent the heat from the rooms below escaping to the attic rooms above.
Furring down the slopes can often be avoided by using high density closed cell foam.
Insulating the attic floor.
Insulating a finished attic there are two basic ways to insulate a finished attic.
I would recommend that you install them the full length from the lowest part of the attic to where there is an adequate air space existing.
If only the living space will be insulated wrap the insulation around the room s walls and ceiling and then continue along the floor of the non living space.
Insulating your roof and attic space will help retain energy in your home often leading to cost savings and comfort improvement.