With great difficulty.
A litre is already a 3 dimensional measure (it is 1,000 CUBIC centimetres), so cubing it would give you a 9 dimensional thing, and seeing as we're limited to 3 (or 4 if you include time) dimensions it would be impossible to measure a cubic litre [directly].
However, assuming you meant how to measure a litre:
A litre is a metric measure of 1,000 cubic centimetres. So if you build a container 10 centimetres on each side it's volume would be 10 cm x 10 cm x 10 cm = 1000 cu cm = 1 litre.
The easiest way to measure a litre is to use a measuring jug which has been pre-marked for you with a litre on it, though for chemistry an accurate measuring cylinder, pipette or burette would be provided which a manufacturer has carefully checked.
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