Problem 19 · 2009 Math Kangaroo
Hard
Spatial & Visual Reasoning
shadows-projections
The diagram shows the bird’s-eye view and front elevation of a solid that is defined by flat surfaces (i.e. the view from above and from the front respectively). Which of the outlines I to IV can be the side elevation (i.e. the view from the left) of the same object?
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Answer: D — IV
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Hint 1 of 2
From the two given views, read off the solid’s height profile across its width and depth.
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Hint 2 of 2
Test each candidate side outline against that profile—only one can come from the same solid.
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Approach: reconstruct the solid’s outline from the two given views
- The top view and the front view together constrain the solid’s heights along each direction.
- Checking each candidate side elevation against those constraints, only outline IV is consistent with both given views.
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