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The price would be determined by the carat weight, the clarity and the colour of the diamond you want to buy in this cut.

(An inch is about 2.5CM or .0254MM: a round, 20-carat gemstone measures only .0176 -- and you would purchase such a diamond at an auction, because of the rare size.)

Insofar as a gem-quality stone is concerned, you may not be able to find a raw stone large enough to accommodate this cut, since about 60% of the raw stone is lost in cutting.

As well, finding an industrial-quality diamond -- a raw stone -- of this size may be difficult.

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Q: How much money would a one inch cubed piece of diamond cost?
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