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Density is mass divided by volume. If we assume the mass of the iron and the cotton is the same, you will find that the iron will occupy less space (less volume) than that of the cotton. The value of a mass divided by a small volume is higher than the value of the same mass divided by a larger volume. If we assume the volume of both the iron and the cotton is the same, you will also find that the mass of the iron will be higher than the mass of the cotton. The value of a large mass divided by a volume is larger than the value of a small mass divided by the same volume. In both assumptions, the value of mass divided by volume for the iron is higher than the value of mass divided by volume for the cotton. Since density is mass divided by volume, the density of iron is therefore higher than the density of cotton.

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