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Q. Find the volume of the cube whose diagonal is $9 \sqrt{3} \mathrm{~cm}$.

Mensuration

Solution:

$\text { Diagonal of cube }=9 \sqrt{3} \mathrm{~cm}$
$ a \sqrt{3}=9 \sqrt{3} \mathrm{~cm} $
$a=9$
$ \therefore \text { Volume of cube }=729 \mathrm{~cm}^3$