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2017 Math Kangaroo

Problem 17

Problem 17 · 2017 Math Kangaroo Stretch
Spatial & Visual Reasoning cube-views

Max builds this construction using some small equally big cubes. If he looks at his construction from above, the plan on the right tells the number of cubes in every tower. How big is the sum of the numbers covered by the two hearts?

Figure for Math Kangaroo 2017 Problem 17
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Answer: C — 5
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Hint 1 of 2
The plan number in each square is the height of the tower standing there.
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Hint 2 of 2
Read the two hidden tower heights off the 3-D picture, then add them.
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Approach: read the two covered tower heights from the construction and add
  1. Each square of the plan shows how many cubes are stacked there.
  2. The two hearts cover two of these tower heights.
  3. Reading those two towers from the picture and adding gives the total.
  4. Their sum is 5.
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