Answer
$0.0854\ cm^3$
Work Step by Step
The mass of the diamond is given by:
$1.50\ carat \times \dfrac{0.200\ g}{1\ carat}=0.300\ g$
And we're given the density ($\rho=3.513\ g/cm^3$), so the volume is:
$V=0.300 \div 3.513 = 0.0854\ cm^3$
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