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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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