Physics - Unit & Dimension Question with Solution | TestHub

In the CGS system,

 $d=4 \mathrm{g} {\mathrm{cm}}^{-3}$

The unit of mass is $100 \mathrm{g}$ and unit of  length is $10 \mathrm{cm}$, so

density  $=\frac{4\left(\frac{100 \mathrm{g}}{100}\right)}{{(\frac{10}{10} \mathrm{cm})}^3}$

 $=\frac{\left(\frac{4}{100}\right)}{{\left(\frac{1}{10}\right)}^3}\frac{(100 \mathrm{g})}{{(10 \mathrm{cm})}^3}$

 $=\frac{4}{100}\times {\left(10\right)}^3\frac{100 \mathrm{g}}{{(10 \mathrm{cm})}^3}$

$=40\mathrm{units}$