Three metallic cubes of edges $3$ cm, $4$ cm and $5$ cm are melted to form a single cube. The edge of the…

Three metallic cubes of edges $3$ cm, $4$ cm and $5$ cm are melted to form a single cube. The edge of the new cube is:
  1. $6$ cm
  2. $7$ cm
  3. $8$ cm
  4. $5$ cm

Solution

Total volume $= 27 + 64 + 125 = 216 \text{ cm}^{3}$. Edge $= \sqrt[3]{216} = 6$ cm.

Asked in: IMO

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