cubic feet, cubic meters, cubic yards, if a very large lake, cubic miles
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You would use meters or feet to measure the depth of Lake Michigan.
It makes sense to use a unit of volume, such as cubic meter, or liter.
The basic unit of volume is the cubic metre. In everyday use, the litre is more common.
Measure the object's mass using a scale. Measure the object's volume by calculating its dimensions (length x width x height). Divide the mass by the volume to find the density of the object. The unit of density will be mass per unit volume (e.g., g/cm3).
I would use litres.