Question

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

Answer 1

Given : Volume of the packet $V=350$ $c{m}^3$

Mass of the packet $M=500$ g

$\therefore$ Density of the packet $\rho =\frac{M}{V}=\frac{500}{350}=1.43$ $g$ $c{m}^{-3}$

As the density of packet is greater than that of water, thus it will sink in water.

Mass of water displaced by the packet is equal to the volume of packet times the density of water

$\therefore$ $m_w={\rho }_w\times V$

$m_w=1\times 350=350$ g