By definition of density, the density of the piece of metal is 21.32 [tex]\frac{g}{cm^{3} }[/tex].
First of all, density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, the density referred to the amount of mass in a certain volume of a substance.
The expression for its calculation of density is the quotient between the mass of a body and the volume it occupies, showing that the density is inversely proportional to the volume: the smaller the volume occupied by a given mass, the greater the density :
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know that:
- mass= 113 g
- volume= 5.3 cm³
Replacing in the definition of density:
[tex]density=\frac{113 g}{5.3 cm^{3} }[/tex]
Solving:
density= 21.32 [tex]\frac{g}{cm^{3} }[/tex]
In summary, the density of the piece of metal is 21.32 [tex]\frac{g}{cm^{3} }[/tex].
Learn more about density:
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