Problem 22 · 2011 Math Kangaroo
Hard
Spatial & Visual Reasoning
cube-viewscareful-counting
The picture shows a fortress made from cubes. How many cubes were used to make it?
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Answer: A — 56
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Hint 1 of 2
The fortress is a square wall with a hollow middle — count the wall, not a solid block.
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Hint 2 of 2
Count the cubes layer by layer, remembering the inside is empty.
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Approach: count the hollow square wall
- The base is a 5×5 ring of cubes plus its floor, and the wall rises with battlements on top.
- Adding the floor, the surrounding wall cubes and the raised corner/battlement cubes gives a total of 56 cubes.
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