Problem 5 · 2024 Math Kangaroo
Easy
Spatial & Visual Reasoning
cube-viewsspatial-reasoning
Ben built a structure out of cubes. A cat then knocked one cube off it. The picture on the right shows the knocked-down structure together with the loose cube that fell. Which of the five pictured structures (A)–(E) did Ben originally build?
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Answer: E
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Hint 1 of 3
The picture shows the knocked-down structure plus one loose cube that fell off, so Ben's tower had one more cube than the picture.
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Hint 2 of 3
Take each answer choice and cover up one cube — you want the one that is then left looking exactly like the pictured structure.
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Hint 3 of 3
Match the cubes spot by spot, remembering the loose cube goes back on top of the tall part.
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Approach: put the fallen cube back and match the cube positions to an option
- The cat knocked one cube off, so Ben's real structure is the pictured shape with that one loose cube added back on.
- Put the loose cube back where it fits (on the tall stack) and look at the whole shape.
- Now compare that finished shape, cube by cube, with each answer choice.
- Only one choice has its cubes in exactly the same spots: E.
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