When is it energetically favourable for a piece of rock to crumble into two pieces?(adsbygoogle = window.adsbygoogle || []).push({});

I couldn't paste latex code here for the life of me so I attached a pdf containing my calculation. It is obviously wrong because it leads to the fact that a box-shaped rock of height sqrt(2) (say meters) would like to collapse (in the absence of bonding energy) to 2 box-shaped pieces of rock of size 1, with no regard to the length/width of either the original rock or the 2 new ones.

What am I missing? Which is the right way to tackle this?

Thanks

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# When is it energetically favourable for a piece of rock to crumble into two pieces?

Can you offer guidance or do you also need help?

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