Class 6 · Olympiad Prep

A wooden cube is painted blue on the outside and then cut into 64 identical smaller cubes (4×4×4). How many small cubes have exactly 1 face painted?

  • A.16
  • B.24 ✓
  • C.36
  • D.48
Explanation: On each face, the cubes with only 1 painted side form a (4−2)×(4−2)=2×2 patch — 4 per face × 6 faces = 24.

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

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