Rahul make a cuboid of side$5\ cm,\ 4\ cm$ and $2\ cm$. How many such cuboid will be needed to form a cube.
Given: Rahul make a cuboid of side $5\ cm,\ 4\ cm$ and $2\ cm$.
To do: To find how many such cuboid will be needed to form a cube.
Solution:
Volume of cuboid$=( 2\times4\times5)=40$
Each side of a cube will be LCM of $4,\ 2$ & $5\ cm=20\ cm$
Therefore, Volume of the cube$=20\times20\times20=8000\ cm^3$
Therefore, Number of cuboids required$=\frac{volume\ of\ the\ cube}{volume\ of\ the\ cuboid}$
$=\frac{800}{40}$
$=200$ cuboid
Therefore, $200$ cuboids are required.
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