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NATA Question of the Day. Topic: Spatial Visualization & 3D Perception.
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Question. A cube has all its faces painted. If it is cut into 27 smaller cubes of equal size, how many cubes will have exactly one face painted? A) 6 B) 12 C) 8 D) 9.
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Visual Understanding. 🎨 Original cube painted on all sides ✂️ Cut into 3 × 3 × 3 = 27 smaller cubes 🟩 Outer layer cubes have paint; inner ones don’t.
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Step-by-Step Explanation. 🟦 Corner cubes → 3 faces painted (8 cubes) 🟨 Edge cubes (not corners) → 2 faces painted (12 cubes) 🟧 Face-center cubes → 1 face painted (6 cubes) ⬜ Inner cube → 0 faces painted (1 cube).
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Final Answer. ✅ **Answer: 6 cubes** Option D) 6 ✨ Keep Practicing – Visualize in 3D!.