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I am trying to build a basement bathroom in the corner of the house. Where I am, basement insulation codes are R10/13. What is the minimum that I can do to frame and insulate a wall. The two methods that I thought of were 2" XPS (to get R10) + 2x3 furring strip + 0.5" cement board. That's 5". Maybe I could do 0.5" XPS for vapor barrier, then a 2x4 wall with batt insulation in the voids. That's 4.5". Is there anything wrong with that and/or is there a better way?

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Both bathroom and basement imply moisture. While batt insulation will be fine if properly installed, I'd favor a solid insulation because it is less likely to serve as a substrate for mold should there be a problem with the installation or down the road with maintenance. Given the limited amount of wall involved, it's more likely to be worth the additional cost. –  ben rudgers Jul 21 at 17:35
    
The problem isn't the cost, the problem is the limited space. I'm trying to fit in a shower, toilet and sink and I'm running out of space. –  2 Left Thumbs Jul 21 at 19:44
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3/4" Hat Channel furring on insulated wall. 1 1/2" Light Gauge metal studs for interior partitions without plumbing stack. Saves meaningful space. –  ben rudgers Jul 21 at 21:46

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