Yes. Volume is measured in cubic units.
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cubic centimeter
By definition, a unit cube has a volume of 1. "Unit" means 1 so if the volume was not 1 it would not be called a unit cube!
A 3.5 unit cube has a volume of 42.875 cubic units.
The 3rd power (cube) of any length unit is a unit of volume.
There is no such unit as a 'cubic milliliter'.A cube with an edge of 7 length units has a volume of 343 of the same unit cubed.