Question

What is the density in $g/c{{m}^{3}}$of a material that has a mass of 17200 mg and volume of 10.0$c{{m}^{3}}$?

Answer 1

Hint: Density of any substance depends on the mass and volume of that substance. Density is the ratio of mass and volume. mg is a milligram unit and is converted to grams by the conversion factor that 1 milligram contains 0.001 grams, or 1 gram = 1000 mg.
Formula used: Density formula, density =$\dfrac{mass}{volume}$

Complete answer:
We have been given a material that has a mass of 17200 milligram and a volume of 10.0$c{{m}^{3}}$. We have to find the density of this material in units of $g/c{{m}^{3}}$.
So, in order to obtain the density in $g/c{{m}^{3}}$, we have to convert the milligrams into grams. The conversion of milligrams into grams is 1 gram = 1000 mg or $1g={{10}^{3}}mg$.
So, converting the mass of the material into gram we have,
17200 mg $\times \dfrac{1g}{{{10}^{3}}mg}$ = 17.20 g
Now, this mass in grams will give us the density, as density is the mass involved in unit volume of any substance. It is the mass upon volume of any substance. Therefore,
Density = $\dfrac{17.20\,g}{10.0\,c{{m}^{3}}}$
Density = 1.72$g/c{{m}^{3}}$.
Hence, the density of the material is 1.72$g/c{{m}^{3}}$.

Note:
Milligrams are the milli units of mass, other units include grams and kilograms. The conversion of gram into milligram is 1 g = 1000 mg, while the conversion of gram into kilogram is 1 kg = 1000 g. Therefore 1 kg will have 1 kg = 1000000 mg or $1kg={{10}^{6}}mg$. The unit of volume of any solid material is expressed in terms of $c{{m}^{3}}$. The conversion of 1 liter into $c{{m}^{3}}$is 1 L = 1000$c{{m}^{3}}$.