Question

Convert $1\raisebox{1ex}{$Kg$}\!\left/ \!\raisebox{-1ex}{$m^3$}\right.$ into $\raisebox{1ex}{$g$}\!\left/ \!\raisebox{-1ex}{$c{m}^3$}\right.$?

Answer 1

Step 1: Given Quantities:

$a=1\raisebox{1ex}{$Kg$}\!\left/ \!\raisebox{-1ex}{$m^3$}\right.$

Step 2: Formula Used:

$$\begin{gathered} 1kg=1000g \\ 1m=100cm \end{gathered}$$

Step 3: The calculation for the conversion:

$$\begin{gathered} 1\frac{Kg}{m^3}=\frac{1000}{{\left(100\right)}^3}\frac{g}{c{m}^3} \\ 1\frac{Kg}{m^3}=\frac{1}{1000}\frac{g}{c{m}^3} \\ 1\frac{Kg}{m^3}={10}^{-3}\frac{g}{c{m}^3} \end{gathered}$$

Hence, the conversion of $1\raisebox{1ex}{$Kg$}\!\left/ \!\raisebox{-1ex}{$m^3$}\right.$ is ${10}^{-3}\raisebox{1ex}{$g$}\!\left/ \!\raisebox{-1ex}{$c{m}^3$}\right.$.