I think it is used a massmeter. Instead, you can enter in a tank full of water, get out of the tank and measure the water left in it. Eureka !
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That tangle refers to measuring the volume of a body - a human one here, it seems - by displacement, not mass. You measure mass with a "balance" or "scales".
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You can use a scale to measure your mass. Stand on the scale and it will provide you with a numerical value that represents your mass in units like kilograms or pounds.
You would use grams (g) to measure a flower's mass.
You use kilograms.
You would typically use kilograms or pounds to measure the mass of a sheep.
You would use kilograms (kg) to measure someone's mass in metric units.
You would use grams (g) or kilograms (kg) to measure the mass of a set of encyclopaedias.