What is the volume of a piece of metal that has a mass of 300 gram and density of 6 gram centimetre 3
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well, since density = mass/volume, that gives
300g/20cm^3 = 15 g/cm^3
so you are correct.
for the alcohol mixture, just figure total mass / total volume
2.5L of water = 2500cm^3, so its mass is 2500*1 = 2500g
8L of alcohol = 8000cm^3, so its mass is 8000*0.8 = 6400g
So, the density of the mixture is
(2500+6400)g / (2.5+8)L = 8900g/10.5L = 847.6 g/L = 0.8476 g/cm^3
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