Prelims · 8 Mental Ability · 8.14 Non-verbal reasoning

8.14.6 Cubes: painting, cutting and counting

A painted cube cut into n × n × n small cubes splits by position: corners have 3 painted faces, edges 2, face centres 1 and the inner block none — giving 8, 12(n − 2), 6(n − 2)² and (n − 2)³.

  • APPSC Group 2 · Prelims
  • Standard level
  • 6 min read
  • Full course

Key terms

  • painted cube
  • small cubes
  • three faces painted
  • two faces painted
  • one face painted
  • no face painted
  • n cubed
  • cuboid
  • minimum cuts
  • maximum pieces
  • coloured faces
  • partly painted cube

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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