If the length of the diagonal of a cube is $3\sqrt{3}\ m$, then find the volume of the cube.


Given: The length of the diagonal of a cube is $3\sqrt{3}\ m$.

To do:  To find the volume of the cube.

Solution:

Length of diagonal$=\sqrt{3}\times Side$

$\Rightarrow \sqrt{3}=\sqrt{3}\times Side$

$\Rightarrow Side=3$

Volume of cube$=3^3=27\ m^3$

Thus, Volume of cube is $27\ m^3$.

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Updated on: 10-Oct-2022

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