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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?

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Solution

## 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 cm3 $⇒\frac{\mathrm{Mass}\mathrm{of}\mathrm{liquid}\mathrm{displaced}}{\mathrm{Density}\mathrm{of}\mathrm{liquid}\mathrm{displaced}}=350{\mathrm{cm}}^{3}\phantom{\rule{0ex}{0ex}}⇒\mathrm{Mass}\mathrm{of}\mathrm{liquid}=350×1=350\mathrm{g}$

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