Problem 6 · 2012 Math Kangaroo
Medium
Spatial & Visual Reasoning
cube-viewsspatial-reasoning
A cuboid is formed from 3 pieces (see picture). Each piece is made from 4 cubes of the same colour. What shape does the white piece have?
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Answer: D
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Hint 1 of 2
The cuboid is 2×2×3, so 12 cubes; each colour fills exactly 4 of them.
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Hint 2 of 2
Locate the grey pieces first; what's left has to be the white piece's shape.
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Approach: place the visible pieces and read off the leftover shape
- The block is a 2×2×3 cuboid (12 unit cubes), split into three 4-cube pieces.
- Track where the two grey-shaded pieces sit on the visible faces; together they account for 8 cubes.
- The remaining 4 cubes form the white piece, and their arrangement matches option D.
- The answer is D.
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