Cubic units (replace 'units' with a measure of length such as centimetres, metres, inches, etc., so cubic centimetres, cubic metres, cubic inches, etc.) or, primarily for liquids, litres or millilitres
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Yes, density is expressed in mass per volume (typical units are g/cm3 and lb/in3).
No, volume is V
The volume of an object can be determined by the displacement of water. By dropping the object into a measuring container of water, where the volume of the water is known, the object's volume can then be calculated by subtracting the volume of the water by the volume of the water and object combined.
Volume
Put the object in a measuring container; pour in water to cover the object and measure the volume in the container; take the object out of container and measure the volume remaining. The difference is the volume of the object. If the object floats push it down until covered with water.