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Depends on the type of rock.

The thermal conductivity of most rocks range from 1 to 5 W/mK. (watt per meter kelvin)

Compared to other things:

Copper, a good conductor, its +-390 W/mK .

PUR foam, a good insulator, its +-0,03 W/mK .

So to answer your question: heat goes through rock, but not rapidly.

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