How many cubes of side $2$ cm can be packed into a cubical box of edge $10$ cm?

How many cubes of side $2$ cm can be packed into a cubical box of edge $10$ cm?
  1. $25$
  2. $125$
  3. $50$
  4. $625$

Solution

Number of cubes $= \dfrac{10^{3}}{2^{3}} = \dfrac{1000}{8} = 125$.

Asked in: IMO

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