Class 6 · Olympiad Prep

A cube is painted red on all its faces and then cut into 27 identical smaller cubes (3×3×3). How many of the small cubes have exactly 2 faces painted red?

  • A.6
  • B.8
  • C.12 ✓
  • D.24
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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