Question

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

• A. 0.004
• B. 40
• C. 4000
• D. 400

Answer 1

The correct option is D

400

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

Since the edge length of the cubical box = 2m, we need to change it in the units of centimeter .

1m = 100cm, therefore 2m = 200cm

Now, Volume of the cubical box = $200cm\times 200cm\times 200cm$

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

$\Rightarrow numberofcuboids=\frac{200\times 200\times 200}{20\times 25\times 40}=400$.