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Dimensional analysis,

44 caracts X (.2g/1carat) X (1cm^3/3.5g) = 2.5 cm^3

See how the carats and grams cancel to just give you cm^3

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Q: The Hope diamond weighs 44 carats Determine the volume occupied by the diamond given that its density is 3.5 Gcm3 at 20oC and that 1 carat equals .200 g?
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