Liter for liquids or square meter for solids.
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The basic metric unit that measures volume is the liter (L).
If, by 'metric system', you mean the 'SI system', then there is no base unit for volume. The unit for volume is called a 'derived unit', and it is the cubic metre (m3).
(g) grams- is the unit used in the metric system.
The unit of liquid volume in the metric system is the liter (L).
The unit that measures distance in the metric system is the meter.