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You would measure it by mililiters.
A ruler. Measure one of the sides, and take that measurement times itself three times, and you'll have the volume.
The measure of the edge of a cube that has a volume of 729 inches to the third is: 9 inches.
This is a poor question. There is no way such a method can measure the volume of a sugar cube, for example, because it will dissolve in the water.
It depends on what object you are trying to measure. Displacement is appropriate for a medium sized, non-soluble object, of any shape. It would be pretty useless if you wanted to measure the volume of a concert hall or a needle! And it would not work for a sugar cube either. A micrometre would be appropriate for small objects with simple geometry, such as a needle or possibly a sugar cube. But is would be no use for a concert hall nor an irregular object. A ruler would be appropriate for large objects with a simple geometry such as a concert hall. But it would be no use for a needle, nor for an irregular object.