Question

small cuboids with dimensions 20 cm $\times$ 25 cm $\times$ 40 cm each, can be accommodated in a cubical box of a 2-m edge.

• A. 40
• B. 4
• C. 400

Answer 1

The correct option is C 400

Volume of one small cuboid
$=l\times b\times h=20cm\times 25cm\times 40cm=20,000c{m}^3$

Edge of cubical box = 2 m = 200 cm

Now,
Volume of the cubical box $=200cm\times 200cm\times 200cm=80,00,000c{m}^3$

So, the number of cuboids that can be accommodated in the cubical box
$=\frac{\text{Volume of the cubical box}}{\text{Volume of the cuboid}}$

$\therefore \text{Number of cuboids}=\frac{8000000}{20000}=400$

Hence, 400 small cuboids can be accomodated in the cubical box.