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Since gold is 19.32 grams per ml and water is 1 gram per ml they both have the same mass
Density = mass / volumeDensity = 30 g / 8 ml = 3.75 g/ml
Assuming the gold nugget is solid and pure (unlikely in real life!) The volume of the nugget is 77.0 - 50.0 mL = 27.0 mL So density = mass/volume = 521/27.0 = 19.3 g per mL.
Density = Mass/Volume = 600/30 = 20 grams per ml.