This question involves the concepts of density and volume.
The metal which would have the greatest volume is "Aluminum".
Density
The density of an object is the ratio of the mass of the object to the volume occupied by that mass. Mathematically,
[tex]\rho=\frac{m}{V}[/tex]
where,
- [tex]\rho[/tex] = density
- m = mass
- V = volume
Now, for the same mass the density will be inversely proportional to the volume.
[tex]\rho =\frac{m(constant)}{V}\\\\\rho\ \alpha\ \frac{1}{V}[/tex]
This means that the metal with the lowest density will have the highest volume occupied for the same masses of all metals. Therefore, aluminum will have the greatest volume.
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