Taking into account the definition of density, the volume of the iron sample is 14.50 cm³.
Definition of density
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
Then, 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.
Volume of iron sample
In this case, you know that:
Density= 7.86 g/cm³
Mass= 114 g
Volume= ?
Replacing in the definition of density:
7.86 g/cm³= 114 g÷ volume
Solving:
7.86 g/cm³× volume= 114 g
volume= 114 g÷ 7.86 g/cm³
volume= 14.50 cm³
In summary, the volume of the iron sample is 14.50 cm³.
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