Question

Find the number of cubes of side length equals $2$ units that can fill up the rectangular prism as shown.

• A. 6

Answer 1

The correct option is A 6
For the given rectangular prism as shown:


We have to find the number of cubes having a side length of $2$ units to completely fill up the volume inside.
$\therefore$ For this, let's calculate the number of such cubes that can be accommodated on each side.
For side of length $6$ units.
The number of cubes that can occupy on this side
$=\frac{6}{2}=3$.
Similarly, for the side length of 2 units,
Number of cubes
$=\frac{2}{2}=1$
And along with the height,
The number of such cubes:
$=\frac{4}{2}=2$
$\therefore$ Total number of such cubes
$=3\times 1\times 2=6$ cubes