Problem 10 · 2012 Math Kangaroo
Easy
Spatial & Visual Reasoning
cube-views
A cuboid is built from three building blocks. Each building block has a different colour and is made up of 4 cubes. What does the white building block look like?
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Answer: D
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Hint 1 of 3
The cuboid is 2 × 2 × 3 (12 cubes), split into three blocks of 4 cubes each.
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Hint 2 of 3
Find every white cube — two are visible (one on the top, one on the right face); the other two are hidden inside.
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Hint 3 of 3
Once you know all four white positions, picture how those four cubes connect into one solid block.
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Approach: locate the white cubes and read their shape
- The full cuboid holds 12 unit cubes shared by three blocks of 4 cubes each, so the grey and dark-grey blocks fill 8 cubes and the white block fills the remaining 4.
- Tracking the white cubes through the picture, three of them lie in a row along the bottom and the fourth sits on top of the middle of that row.
- That T-shaped block matches building block D.
Mark:
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