The units are the same whether you express the volume of a solid, a liquid, a gas, etc.
The metric unit for volume is the cubic meter. Multiples and submultiples can be used as well, for example the cubic decimeter (= liter), the cubic centimeter (= milliliter), the cubic kilometer, etc.
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The metric unit of volume is the Liter. It is used for any volume, regardless of solid, liquid, gas, etc.
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Not normally solids. Liquids and gases yes. The solid (or an empty space other than a vessel intended for holding a set amount of fluid) is measured in cubic metres and its divisions or multiples.
For some daft reason some car manufacturers describe load space in litres! I'm not turning my car into an aquarium for them, but even the cubic metre is not a helpful unit when you want to know what objects will fit into it. You need to be fairly discerning when using the metric system, especially its SI derivative, because it is easy to give values all arithmetically-correct and coherent, but not very practical or helpful.
Volume can be expressed in milliliters, liters, cubic centimeters (ml also), cubic meters, cubic kilometers, whether the volume is full of liquid, solid, gas, or empty.
cm3, cubic centimetres (ml or cc more commonly) are used most often, certainly in chemistry but it is dependent on how large the volume is of course.
In solids, it is more common to use weight, which is converted from volume, using density.
That would be grams.
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The above is definitely for mass and not for volume.
In CGS system the unit for volume will be cm3
And in MKS A system, it is m3
The metric unit for the volume of a solid is typically measured in cubic meters (m³) or cubic centimeters (cm³), depending on the size of the solid.
A metric unit of volume using length is called a cubic unit. It is obtained by multiplying length measurements in three dimensions (length x width x height) to calculate the volume of a solid object.
The metric unit used to measure regular solid volume is the cubic meter (m^3). It represents the volume of a three-dimensional space that is occupied by a solid object.
A litre is a metric unit of volume.
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).
The metric unit for mass of a liquid volume is grams (g).