Answer:
[tex]998.9\operatorname{kg}/m^3[/tex]Given the measured value of 0.9989g/ml. We are to convert the value to kg/m^3
Using the conversion factor as shown:
[tex]\begin{gathered} 1000\text{grams}=1\operatorname{kg} \\ 1ml=10^{-6}m^3 \end{gathered}[/tex]Applying this conversion to the given value:
[tex]\begin{gathered} =\frac{0.9989\cancel{g}}{\cancel{ml}}\times\frac{1\operatorname{kg}}{1000\cancel{g}}\times\frac{1\cancel{ml}}{10^{-6}m^3} \\ =0.9989\times\frac{1\operatorname{kg}}{10^3}\times\frac{1}{10^{-6}m^3} \\ =0.9989\times\frac{1\operatorname{kg}}{10^{3-6}m^3} \\ \end{gathered}[/tex]Simplifying further will give:
[tex]\begin{gathered} =0.9989\times\frac{1\operatorname{kg}}{10^{-3}m^3} \\ =0.9989\times\frac{1000\operatorname{kg}}{m^3} \\ =998.9\operatorname{kg}m^{-3} \end{gathered}[/tex]Hence the required measurement in kg/m^3 is 998.9kg/m^3
