Question

1]The volume of solid of mass 500 g is 350 cm3 find its density if density i of water is 1 g/cm3 find the relative density of the solid
2] calculate the density of an object of volume 3 m3{3 metre cube } and mass 9kgstate if it will float or sink in water . why?
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Answer 1

Dear Student,

$$\begin{gathered} \left(1\right)\mathrm{m}=500\mathrm{g} \\ \mathrm{v}=350{\mathrm{cm}}^3 \\ \mathrm{d}=\frac{\mathrm{m}}{\mathrm{v}} \\ \mathrm{d}=\frac{500}{350}=1.42\mathrm{g}/{\mathrm{cm}}^3 \\ \mathrm{density}\mathrm{of}\mathrm{water},{\mathrm{d}}_{\mathrm{w}}=1\mathrm{g}/{\mathrm{cm}}^3 \\ \mathrm{relative}\mathrm{density}=\frac{\mathrm{d}}{{\mathrm{d}}_{\mathrm{w}}}=\frac{1.42}{1}=1.42 \\ \left(2\right)\mathrm{m}=9\mathrm{kg} \\ \mathrm{v}=3{\mathrm{m}}^3 \\ \mathrm{d}=\frac{\mathrm{m}}{\mathrm{v}} \\ \mathrm{d}=\frac{9}{3}=3\mathrm{kg}/{\mathrm{m}}^3 \\ \mathrm{The}\mathrm{object}\mathrm{will}\mathrm{float}\mathrm{because}\mathrm{the}\mathrm{density}\mathrm{of}\mathrm{object}\mathrm{is}\mathrm{less}\mathrm{than}\mathrm{the}\mathrm{density}\mathrm{of}\mathrm{water} \\ \mathrm{which}\mathrm{is}1000\mathrm{kg}/{\mathrm{m}}^3 \end{gathered}$$