Question

Water occupies a quater of the capacity of a tank, if the small individual cubes represent unit volume of water, how much air is present in the tank?

• A. $64$
• B. $16$
• C. $48$
• D. $36$

Answer 1

The correct option is C $48$

We notice that the number of cubes inside the tank are $16$




Each cube has a unit volume of water.
Therefore, volume of a cube $=1$ cubic units.
$⟹$ Volume of water $=$ Number of cubes $\times$ volume of a cube
$=16\times 1=16$ cubic units.

Also, the water occupies quater of the capacity of the tank.
Thus volume occupied by water $=\frac{1}{4}\times V$, where $V$ is the volume of the tank.
$⟹\frac{1}{4}\times V=16$

$\therefore$ Volume of the tank $V=4\times 16=64$ units

The portion of the tank not occupied by water is occupied by air,
$\therefore$ volume of air in the tank $=64-16=48$ units

Option (c.) is correct.