Problem 12 · 2013 Math Kangaroo
Medium
Spatial & Visual Reasoning
cube-views
Johann stacks \(1\times1\) cubes on the squares of a \(4\times4\) grid. The diagram shows how many cubes are piled on each square. What will Johann see if he looks at the tower from behind?
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Answer: C
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Hint 1 of 3
Looking from the back flips left and right compared with the front.
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Hint 2 of 3
For each line of squares, only the tallest stack shows up in the side view.
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Hint 3 of 3
Read off the tallest stack in each row, then flip the row left-to-right for the back view.
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Approach: read the height grid from the back view
- The grid tells how tall each stack is; from behind you see the same stacks but with left and right swapped.
- For each line going across, the tallest stack is the one that shows in the outline.
- Reading the tallest stacks and flipping left-to-right gives the shape in choice C.
Mark:
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