Question

A quarter of a tank is filled with water, as shown in the given image. If each small cube in the image represents a unit volume of water, how much air is present in the tank?

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

Answer 1

The correct option is C $48cu$ units

We can see that there are $16$ cubes in the given image.


Volume of each cube $=1cu$ unit

Volume of water in the tank = number of cubes $\times$ volume of each cube
$=16\times 1=16cu$ units
We know, a quarter of the tank is filled with water.
Thus, volume occupied by water $=\frac{1}{4}\times V$, where $V$ is the volume of the tank.
$\frac{1}{4}\times V=16$

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

The portion of the tank not occupied by water is occupied by air.
Hence, volume of air in the tank $=64–16=48cu$ units