I read in a book about building houses on the cheap from salvaged lumber and other recycled materials that cardboard is a decent insulator,they suggested spraying it with borax to make it less combustible and it will also repel insects..not sure how your county codes or landlord would feel about using it for insulation though..
The foam sheets of insulation work pretty good and wont take much space up--they do sell some that is made to fit between roof rafters that might work between the studs but it is not that thick...the foil faced stuff is pretty pricey,but worth ot in my opinion,because if typical fiberglass pink stuff gets wet at all it does next to nothing as far as insulating,and in a garage that sweats like mine will sometimes in certain weather conditions,fiberglass would be worthless...
That reflective foil bubble wrap stuff works pretty well too,and is easy to apply,but it cant be used near a heat source,and using it over bare studs might encourage mold to grow in the cavity ,acting as a vapor barrier..
A friend of mine had a wood framed garage and he got some free rolls of 4 mil poly plastic from the school he worked at,and he stapled it to the studs,with no insulation...
Instantly you could feel the difference,the dead air space in the walls are a good insulator,and the drafts being stopped helped a great deal..but we noticed water drops formed on the inside of the plastic,and soon there was mildew and rot eating away at the wall sheathing and it stunk bad,so he ended up taking it back off..
I guess the bottom line is its not easy to keep a place warm for free or cheap,and each way has advantages and disadvantages..
I'd rather be in a climate where A.C is a must instead of heat,but I'll probably never get to live anywhere like that...I'll be inhaling wood smoke till my last breaths probably..
The foam sheets of insulation work pretty good and wont take much space up--they do sell some that is made to fit between roof rafters that might work between the studs but it is not that thick...the foil faced stuff is pretty pricey,but worth ot in my opinion,because if typical fiberglass pink stuff gets wet at all it does next to nothing as far as insulating,and in a garage that sweats like mine will sometimes in certain weather conditions,fiberglass would be worthless...
That reflective foil bubble wrap stuff works pretty well too,and is easy to apply,but it cant be used near a heat source,and using it over bare studs might encourage mold to grow in the cavity ,acting as a vapor barrier..
A friend of mine had a wood framed garage and he got some free rolls of 4 mil poly plastic from the school he worked at,and he stapled it to the studs,with no insulation...
Instantly you could feel the difference,the dead air space in the walls are a good insulator,and the drafts being stopped helped a great deal..but we noticed water drops formed on the inside of the plastic,and soon there was mildew and rot eating away at the wall sheathing and it stunk bad,so he ended up taking it back off..
I guess the bottom line is its not easy to keep a place warm for free or cheap,and each way has advantages and disadvantages..
I'd rather be in a climate where A.C is a must instead of heat,but I'll probably never get to live anywhere like that...I'll be inhaling wood smoke till my last breaths probably..

...what you'll spend on electricity in a month would probably pay for a used hot air furnace ..
