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A blacksmith in Ludhiana has a metal cube of edge 11 cm. Why can it NOT be melted and recast into a single cube of edge 22 cm (without adding metal)?

Class 10Conversion of SolidsMensuration
  • AThe larger cube needs 8 times the volume, but volume is conserved
  • BThe edges differ
  • CCubes cannot be melted
  • DSurface area decreases

Step-by-Step Solution

Volume scales as edge cubed: . The 22 cm cube needs the metal, but melting conserves volume, so it is impossible.
Answer: A) The larger cube needs 8 times the volume, but volume is conserved

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