Earlier quoted context omitted.
However, the operational (heating, AC) and maintenance costs of a large house do scale more directly with it's size, especially for jobs that involve the whole structure, like re-roofing, re-siding, etc. So in the end they end up being far more expensive to live in.
Siding costs do not go up linearly with interior volume. This is basic geometry which I shouldn't have to explain on this forum. Operational and maintenance costs are a different factor; we were talking about house price, and I went into construction cost. Operations costs are different, and consumers are pretty infamous for only looking at initial costs and not thinking about operational/maintenance costs. This is e…
Of course it doesn't scale linearly with volume, it scales linearly with exterior surface area, which itself scales with square footage, which was the base metric I used, not volume. The shape that minimizes the surface area to volume ratio is a sphere, which most houses are not.