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If `l` is the length of a diagonal of a cube of volume V, then (a) `3V=l^3` (b) `sqrt(3)\ V=l^3` (c) `3sqrt(3)\ V=2l^3` (d) `3sqrt(3)\ V=l^3`

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Volume of a cube`(V)` = `(side)^3`
Let the side of cube be a unit.
`therefore` length of a diagonal `(l)=asqrt3`
Taking cubes on both sides
`l^3=3sqrt3a^3`
`l^3=3sqrt3V`
Hence, option(d) is correct.
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