Question

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

• 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

Side of the cubical box measures 2m = 200 cm..

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

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

$\Rightarrow \text{number of cuboids}=\frac{200\times 200\times 200}{20\times 25\times 40}=400$.

Hence the correct answer is option C.