Question

A cubical box is 1 m in height. In it cubical boxes of chalks of $20\text{cm}$ length are arranged. How many such boxes could be arranged ?

Answer 1

Length of cubical box $=1\text{m}$

Volume of cubical box $=l^3$

$=(1{)}^3{\text{m}}^3=1{\text{m}}^3$

Now length of chalkbox $\left(l\right)=20\text{cm}$

Volume of chalkbox $=(l{)}^3$

$=(20{)}^3{\text{cm}}^3$

Number of chalk-box that can be arranged in space of $8000{\text{cm}}^3=1$

$\therefore$ Number of chalk-box arranged in space of $1{\text{m}}^3$ or $10,00,000{\text{cm}}^3$ $=\frac{1000000}{8000}$$=125$

Hence, $125$ chalk-boxes could be arranged in the given cubical box.