Question

A 243 mL cup of whole milk contains about 45 mg of cholesterol. Express the cholesterol concentration of the milk in kilograms per cubic meter (kg/m^3).

Answer 1

Answer: $0.1851 \frac{kg}{m^{3}}$

Explanation:

We have this concentration in units of $mg/ml$:

$\frac{45 mg}{243 ml}$

And we need to express it in $kg/m^{3}$, knowing:

$1 ml= 1 cm^{3}$

$1 m^{3}= (100 cm) ^{3}$

$1g = 1000 mg$

$1 kg = 1000 g$

Hence:

$\frac{45 mg}{243 cm^{3}} \frac{1 g}{1000 mg} \frac{1 kg}{1000 g} \frac{(100 cm) ^{3}}{1 m^{3}}=0.1851 \frac{kg}{m^{3}}$