First you need to calculate mass.
mass = volume x densityIn other words, you need to know the density for the specific material - there is simply no standard conversion between volume and mass.
The above formula will give you the mass, for example in kilograms; if you really want the weight (for example, in newtons), you need to multiply the mass times the gravity, which is about 9.8 newton/kilogram in SI units.
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