Question

If the mass of a body is 12.1g and its density is 2.2g/cc, its volume is
A) 5.5 $c{m^3}$.
B) 8 cc.
C) 11 cc.
D) 55 cc.

Answer 1

Hint
Use the formula $D = \dfrac{M}{V}$ and put the required values and get the answer. Remember that $1cc = 1c{m^3}$.

Complete step by step answer
Given that the mass of a body is 12.1 grams. And that the density of the body is 2.2 g/cc and we need to find the volume.
We know that the formula which relates all this three quantities (i.e. mass, volume, density) is given by,
${\text{Density = }}\dfrac{{{\text{mass}}}}{{{\text{volume}}}}$
which can be further abbreviated as,
$\Rightarrow D = \dfrac{M}{V}$
Putting the required values given in the question, we have,
$\Rightarrow V = \dfrac{M}{D} $
$\Rightarrow V = \dfrac{{12.1g}}{{2.2g/cc}}$
Which on solving yields the following result :
$ \Rightarrow V = 5.5cc$
Now we know that $1cc = 1c{m^3}$
Hence, the volume becomes 5.5$c{m^3}$ and so among the given options, option (A) is the correct answer.

Note
Density is the property of the material of the body. The density of an object is equal to its total mass divided by its total volume. An object made from a comparatively dense material (such as iron) will have less volume than an object of equal mass made from some less dense substance (such as water).