Question

A cubical box of side 30 cm is filled with some cubical boxes of side 2 cm. How many small boxes are there?

• A. 3375

Answer 1

The correct option is A 3375
Side of the big cubical box = 30 cm
Volume of the box = $l^3={30}^3=30\times 30\times 30=27000c{m}^3$

The side of the small cubical box is 2 cm. Therefore, the volume of each small box is $2^3=2\times 2\times 2=8c{m}^3$

Hence, the number of small boxes which is there inside the big box = $\frac{27000}{8}$ $=3375$