How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?

We have,

Edge of the cube, $a=10 \mathrm{~cm}$ and

Edge of the cubical box, $l=1 \mathrm{~m}=100 \mathrm{~cm}$

Now,

The number of cubes that can be put in the box $=\frac{\text { Volume of the cubical box }}{\text { Volume of the cube }}$

$=\frac{l^{3}}{a^{3}}$

$=\frac{100^{3}}{10^{3}}$

$=10^{3}$

$=1000$

So, the number of cubes that can be put in the cubical box is 1000.