Problem 10 · 2014 Math Kangaroo
Medium
Spatial & Visual Reasoning
cube-viewsspatial-reasoning
The solid in the diagram is built from 8 identical cubes. What does the solid look like when you look straight down at it from above? (Choose the matching picture.)
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Answer: C
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Hint 1 of 3
Imagine you are a bird flying right over the top, looking straight down.
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Hint 2 of 3
From up there you cannot tell how tall a stack is, only which floor squares are covered.
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Hint 3 of 3
Shade in every square that has at least one cube under it and match that shape.
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Approach: draw the shape of the floor squares the cubes cover
- Looking from above, tall and short stacks look the same; all that matters is which floor squares are filled.
- Mark each square that has a cube sitting on it, ignoring how high the pile goes.
- That filled-in shape is the top view.
- It matches picture C.
Mark:
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