How many cubes of side $3\ cm$ can be made from a cuboid of size $10\ cm\times 6\ cm\times 9\ cm$?

To do: To find the number of cubes of side $3\ cm$ made from a cuboid of size $10\ cm\times 6\ cm\times 9\ cm$.

Dimension of cuboid $=10\ cm\times 6\ cm\times 9\ cm$

Volume of cube $=side^3=3^3=27\ cm^3$

Volume of cuboid$=L\times B\times H$ 

Number of cubes$\times$Volume of cube$=$Volume of cuboid 

$\Rightarrow$ Number  of cubes$\times 27=( 10\times 6\times 9)$ 

$\Rightarrow$ Number  of cube$=10\times 6\times \frac{9}{27}=20$ 

Thus, Number of cubes is $20$.