Problem 8 · 2021 Math Kangaroo
Easy
Spatial & Visual Reasoning
Logic & Word Problems
cube-viewscomplementary-counting

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Answer: E — Diagram E.
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Hint 1 of 2
The grey cubes are exactly the ones that are neither white nor black.
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Hint 2 of 2
Subtract the white shape and the black shape from the full 3×3×3 cube, position by position.
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Approach: grey = full cube minus white minus black
- The full cube has 27 unit cubes; the grey ones are those not shown in the white or black diagrams.
- Remove the white part and the black part to see which positions are left grey.
- Matching that leftover arrangement to the options gives diagram E.
- So the answer is E.
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