Taking into account the definition of density, since the density of the block of fools gold is different from the density of real gold, it proves that it is not real gold.
Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
In this case, you know that:
Replacing in the definition of density:
density= 56.26 g÷ 11.25 cm³
Solving:
density= 5 g/cm³
The real gold has density of 19.3g/cm³. The density of block of fools gold is 5 g/cm³. Since this density is different from the density of real gold, it proves that it is not real gold.
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