You put it on a scale or a triple-beam balance.
It'll give you the mass.
However, if you have the density of the rock, divide it by the volume to find the mass mathematically.
You can also find the volume by the water displacement method, where you placed the rock in a graduated cylinder/beaker filled partially with water and record the difference between the original water level and the raised water level after placing the rock inside the container.
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Kilogram or ton.
it is measured by a vertex
No. Mass is measured in kilograms. Weight is measured in Newtons.
Atomic mass units
Mass divided by time, where the mass is measured in tons and the time is measured in hours. If the mass and time are measured in other units they will need to be converted to tons and hours.