Class 6 · Olympiad Prep

A cube is painted on all faces and cut into 27 equal cubes. How many small cubes have exactly two painted faces?

  • A.24
  • B.12 ✓
  • C.6
  • D.8
Explanation: In a 3×3×3 cube, the cubes with exactly 2 painted faces lie on the edges (excluding corners) — 1 per edge × 12 edges = 12.

Class 6 IMO Mathematics Olympiad practice · Visual & Spatial Reasoning · Mirror Images, Folding & Cubes

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