Problem 20 · 2011 Math Kangaroo
Stretch
Spatial & Visual Reasoning
net-foldingcube-views
The dark line halves the surface area of the die shown on the right. Which of the drawings A–E could represent the net of this die?
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Answer: A
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Hint 1 of 2
Imagine folding each net back into the cube and follow where the drawn line goes.
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Hint 2 of 2
The correct net is the one whose line becomes the single curve that halves the cube surface.
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Approach: fold each net and check the dark line splits the cube's surface in half
- The dark line on the die separates its surface into two equal-area parts.
- When a net is folded into the cube, that same line must close up into one continuous halving curve.
- Only net A folds so the marked line cleanly divides the surface into two equal halves.
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