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It depends on what information you have.
You need to know the mass of something and the force of gravity at the location where you want its weight.
If you do not know the mass, you need to know the density and volume. Archimedes's method is not appropriate because that derives the weight by experiment rather than mathematical formula.
If you do not have the volume, you need to know those dimensions of the object that will allow you to calculate the volume.
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