The volume of a $500\ g$ sealed packet is $350\ cm^3$. Will the packet float or sink in water if the density of water is $1\ g cm^{-3}$? What will be the mass of the water displaced by this packet?

The volume of a $500\ g$ sealed packet is $350\ cm^3$.

$(i)$. To check whether the packet will float or sink in water if the density of water is $1\ g cm^{-3}$.

$(ii)$. To calculate the mass of the water displaced by this packet

To check whether the packet will float or sink, we will have to compare the densities of the sealed packet and the water. If the density of the sealed packet is less than that of the water$(1\ g cm^{-3})$, then the sealed packet will float. If the density of the sealed packet is greater than that of the water$(1\ g cm^{-3})$, then the sealed packet will sink. let us find the density of the sealed packet first and then compare it with that of water:

As given, the volume of sealed packet $=500\ g$ 

On comparing the densities of the sealed packet and water.

$1.42\ g/cm^3$ > $1\ g cm^{-3}$

Here the density of the sealed packet is greater than the density of the water. So, the sealed packet will sink.

From the above calculations, we can conclude that the packet will sink. The mass of the water displaced by this packet is $350\ g$.