To solve the problem we must know about density.
The different weight shows that the solids have different density.
Given to us
We know that weight is the product of mass and acceleration due to gravity, also, mass is the product of density and volume.
[tex]\rm{ weight = mass \times acceleration\ due\ to\ gravity[/tex]
[tex]\rm{ w = m \times g[/tex]
[tex]\rm{ Mass = density \times volume[/tex]
[tex]m = \rho \times v[/tex]
In the three solids given, the acceleration due to gravity will be the same, also, it is already mentioned that the volume of the three materials is the same that is 1 cubic centimeter.
[tex]w = m \times g\\w = (\rho \times v) \times g\\\\w = \rho \times 1\ cm^3 \times 9.81[/tex]
Therefore, the only thing that can vary is the density of the solids. Hence, the different weight shows that the solids have different density, the more is the weight the more is the density of the solid.
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