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2021 Math Kangaroo

Problem 6

Problem 6 · 2021 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoning
Figure for Math Kangaroo 2021 Problem 6
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Answer: A — Vase A.
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Hint 1 of 2
Each vase holds the same volume and is the same height, and each gets the same half litre.
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Hint 2 of 2
The water rises highest in the vase that is narrowest near the bottom.
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Approach: compare cross-sections low down
  1. All vases have equal height and equal total volume (1 litre), and each receives 0.5 litre.
  2. Where a vase is narrow at the bottom, the same half litre must stack up higher.
  3. Vase A is the narrowest near its base, so its water level is the highest.
  4. So the answer is A.
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