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@shiftctrl.io I'm not familiar with the cabinet business (and English is not my native language) so I don't understand what is meant with 'length of cabinets ... in only the one which'. It's the plural of cabinets in combination with the single of one. Do you mean you have multiple boxes like in your image stacked next to each other?
And how do you know which one requires 'further processing' if you don't want some 'sort of user selection to guide me'?
By the way, after looking at your second image a bit longer, I don't think it's necessary to select the back wall to discard its corners. It just saves analyzing 8 points.
That's an elegant way to determine the faces making up the requested inside area (compared to my brute-force method). I learned something new (.GetClosestPointTo). I'm not sure if @shiftctrl.io requires the back plane though.