Question

How many small cuboids with dimensions 20 cm $\times$ 25 cm $\times$ 40 cm each can be just accommodated in a cubical box of 2 m edge?

• A. 0.004
• B. 4000
• C. 400
• D. None of the above

Answer 1

The correct option is C

400

Volume of one small cuboids = l$\times$b$\times$h
= 20cm $\times$ 25cm $\times$ 40cm

Edge length of the cubical box = 2m = 200cm----(1m = 100cm)

Now, Volume of the cubical box
= 200cm × 200cm × 200cm

So the number of cuboids that can be just accommodated in the box
= $\frac{Volumeofthecubicalbox}{volumeofthecuboid}$.

$\Rightarrow$ Number of cuboids = $\frac{200\times 200\times 200}{20\times 25\times 40}=400$