What is the relation between litre and the C.G.S. and the S.I. units of volume?

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Solution

SI unit of volume = $m^{3}$
CGS unit of volume = $c m^{3}$
$1 m^{3} = 1000 l a n d 1 c m^{3} = \frac{1}{1000} l$
$\begin{matrix} 1 m^{3} = 1 m \times 1 m \times 1 m & ∴ 1 m^{3} = 1000 l = 100 c m \times 100 c m \times 100 c m & \to 1000000 c m^{3} = 1000 l = 1000000 c m^{3} & ∴ 1 c m^{3} = \frac{1}{1000} l \end{matrix}$

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