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Mathematics
Find the volume of the cube whose diagonal is 9 √3 mathrm~cm.
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Q. Find the volume of the cube whose diagonal is $9 \sqrt{3} \mathrm{~cm}$.
Mensuration
A
279
B
$729 \mathrm{~cm}^3$
C
972
D
None of these
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$