How many small cuboids with dimensions 20 cm × 25 cm × 40 cm ea

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 ?

Options:

A . 4

B . 4000

C . 400

D . 40

Answer: Option C
:
C

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 = $200 c m \times 200 c m \times 200 c m$

So the number of cuboids that can be just accommodated in the box = $\frac{V o l u m e o f t h e c u b i c a l b o x}{v o l u m e o f t h e c u b o i d}$ .

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

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