Question

The volume of a plastic covered sealed box is 350 cm³ and the box has a mass 500 g. Will the box float on water or sink in water? what will be the mass of water displaced by the box?

Answer 1

Given:
Volume of box = 350 cm³
Mass of box = 500 g
Density of object = $\frac{\mathrm{Mass}\mathrm{of}\mathrm{object}}{\mathrm{Volume}\mathrm{of}\mathrm{object}}=\frac{500}{350}=1.43\mathrm{g}/{\mathrm{cm}}^3$
Now, we know density of water = 1 g/cm³
Since, density of box > density of water, therefore the object is going to sink in water.
Now, volume of liquid displaced = Volume of the object = 350 cm^{3
$$\begin{gathered} \Rightarrow \frac{\mathrm{Mass}\mathrm{of}\mathrm{liquid}\mathrm{displaced}}{\mathrm{Density}\mathrm{of}\mathrm{liquid}\mathrm{displaced}}=350{\mathrm{cm}}^3 \\ \Rightarrow \mathrm{Mass}\mathrm{of}\mathrm{liquid}=350\times 1=350\mathrm{g} \end{gathered}$$}