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centimeters is for length or distance and a litre pertains to a volume, therefore you can't use centimeters to measure a volume unless you will say cubic centimeters (cc or ) which is by definition 1 cc is equivalent to 1milliliter (mL). Since there are 1000 mL to a litre (L), there are 1000 cc per litre.
Centimetres measure length, litres measure volume. The units are incompatible.

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