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IKMC 2024 - Grades 9-10 - Set 2 - Self-study Question 24

IKMC · IKMC 2024 - Grades 9-10 - Set 2 - Self-study

Question 24

Jill uses 27 black, grey and white unit cubes to build a 3×3×3 cube whose surface is exactly one-third black, one-third grey and one-third white. The smallest and largest possible numbers of black cubes are A and B. Find B−A.
  1. 1
  2. 3
  3. 6
  4. 7
  5. 9