Problem 7 · 2015 Math Kangaroo
Easy
Spatial & Visual Reasoning
net-folding
The diagram shows the net of a three-sided prism. Which line of the diagram forms an edge of the prism together with line UV when the net is folded up?
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Answer: C — XY
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Hint 1 of 2
Fold the net into the prism and watch where the endpoints of UV land.
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Hint 2 of 2
When folded, the edge along UV meets another edge of the net; find which labelled segment touches it.
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Approach: fold the net and see which edge meets UV
- The net of the triangular prism wraps the rectangular faces around the two triangular ends.
- When it is folded up, segment UV is brought together with the segment that shares its endpoints after folding.
- Tracing the fold, that segment is XY.
- So the answer is XY (C).
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