Question

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

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

Answer 1

The correct option is C

400

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

Since the edge length of the cubical box = 2 m = 200 cm

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

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

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