Liquid mass is measured in grams/kilograms.
A liquid cannot have a length.
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You can not measure the volume of a liquid with a measurement designed to determine length. A centiliter is a measurement of volume, or the amount of space that a liquid can consume inside an object. A centimeter, would be a measurement of length and a centigram is a measurement of mass (weight).
No. "Metric" refers to a system of measurement - of mass, length, volume etc. Tonne is a unit for measuring mass.
The units for the volume if you are measuring any liquid or solid is metre^3/cm^3 as density = mass/volume. The units for mass is grams
Unit of Measurement used when measuring Weight or Mass
A graduated cylinder is typically used to measure the mass of a liquid. One could also multiply the density and volume of liquid in order to find the mass.