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 $10\ cm\times 6\ cm\times 9\ cm$.
Solution:
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 $20$.
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