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IKMC 2009 - Grades 11-12 - Paper 02 - Self-study Question 13

IKMC · IKMC 2009 - Grades 11-12 - Paper 02 - Self-study

Question 13

The illustrated $2\times2\times2$ cube contains four transparent unit cubes and four opaque black unit cubes, arranged so no straight line of sight passes through from front to back, left to right, or top to bottom. What is the minimum number of black unit cubes needed to make a $3\times3\times3$ cube opaque in the same three directions?

Question illustration
  1. 6
  2. 9
  3. 10
  4. 12
  5. 18