Question

If a 4 kg material A occupies 20 cm3 and 18 kg of material B occupies 90 cm3, which has greater density A or B ?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{mass}\mathrm{of}\mathrm{A},\mathrm{m}=4\mathrm{kg} \\ \mathrm{volume}\mathrm{of}\mathrm{A},\mathrm{v}=20{\mathrm{cm}}^3 \\ \mathrm{density}\mathrm{of}\mathrm{A},\mathrm{d}=\frac{\mathrm{m}}{\mathrm{v}} \\ \mathrm{d}=\frac{4}{20}=0.2\mathrm{kg}/{\mathrm{cm}}^3 \\ \mathrm{mass}\mathrm{of}\mathrm{B},\mathrm{M}=18\mathrm{kg} \\ \mathrm{volume}\mathrm{of}\mathrm{B},\mathrm{V}=90{\mathrm{cm}}^3 \\ \mathrm{density}\mathrm{of}\mathrm{B},\mathrm{D}=\frac{\mathrm{M}}{\mathrm{V}} \\ \mathrm{D}=\frac{18}{90}=0.2\mathrm{kg}/{\mathrm{cm}}^3 \\ \mathrm{Density}\mathrm{of}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{are}\mathrm{same}. \end{gathered}$$