Problem 21 · 2022 Math Kangaroo
Stretch
Spatial & Visual Reasoning
cube-views
A building is made of cubes of the same size. The three pictures show it from above (von oben), from the front (von vorne) and from the right (von rechts). What is the maximum number of cubes that could be used to make this building?
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Answer: B — 19
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Hint 1 of 2
The top view fixes which columns can hold cubes; the front and side views cap each column's height.
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Hint 2 of 2
For the maximum, make every column as tall as its views allow.
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Approach: raise each column to the height its views permit
- The top view shows which floor positions are occupied.
- The front and right views give the largest height allowed for each row and column.
- Stacking each column to its maximum allowed height totals 19 cubes.
- So the answer is B.
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