The density of any substance is the ratio of the mass and the volume in which it is present. It can be expressed in kilogram per cubic meter.
[tex]13,600 \;\rm kg / m^{3}[/tex] is the density.
Given,
Density of mercury = [tex]13.6 \;\rm g/cm^{3}[/tex]
1 kg = 1,000 g
[tex]1 \rm \;m^{3} = 10^{6}\;\rm cm^{3}[/tex]
Convert centimetre into meter:
[tex]\begin{aligned}&= 13.6 \;\rm g/cm^{3} \times (\dfrac{1,000,000\;\rm cm^{3}}{1 m^{3}}) \\\\&= 13,600,000 \;\rm g/ m^{3}\end{aligned}[/tex]
Now, convert grams into kilograms:
[tex]\begin{aligned}&= 13,600,000 \;\rm g/m^{3} \times (\dfrac{1 \;\rm kg }{1,000\;\rm g}) \\\\&= 13,600 \;\rm kg / m^{3}\end{aligned}[/tex]
Therefore, [tex]13,600 \;\rm kg / m^{3}[/tex] is the density of the mercury.
Learn more about conversion here:
https://brainly.com/question/10887388
