A solid metallic cube of edge $12$ cm is melted and recast into small cubes of edge $3$ cm. How many small…

A solid metallic cube of edge $12$ cm is melted and recast into small cubes of edge $3$ cm. How many small cubes are formed?
  1. $16$
  2. $64$
  3. $32$
  4. $48$

Solution

Number of cubes $= \dfrac{12^{3}}{3^{3}} = \dfrac{1728}{27} = 64$.

Asked in: IMO

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