Question

The density of a metal is 19.29 $gc{m}^{-3}$. Convert the density to units of $kg{m}^{-3}$.

• A. 19998$kg/m^3$
• B. 15421$kg/m^3$
• C. 19200$kg/m^3$
• D. 19720$kg/m^3$

Answer 1

The correct option is C 19200$kg/m^3$

$1kg=1000g$

Conversion factor $=\frac{1kg}{1000gm}$

$1m=100cm$

Conversion factor $=\frac{100cm}{1m}$

$\therefore 19.29gc{m}^{-3}=19.2gc{m}^{-3}\times \frac{1kg}{1000g}\times {\left(\begin{array}{c}\frac{100cm}{1m}\end{array}\right)}^3$

$=19200kg/m^3$