Problem 11 · 2024 Math Kangaroo
Hard
Spatial & Visual Reasoning
cube-viewsshadows-projections
Chiara has a see-through cube. Inside there are 6 small cubes (see picture). What does Chiara see if she looks at the cube from above?
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Answer: E
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Hint 1 of 3
Pretend you are a bird flying right over the box, looking straight down inside it.
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Hint 2 of 3
If two cubes are stacked on top of each other, from above they look like just one filled square.
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Hint 3 of 3
Colour in every floor square that has at least one cube somewhere above it.
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Approach: look straight down and shade every square that has a cube above it
- Looking from above, a cube hides the square right under it, and stacked cubes still cover just one square.
- Go cube by cube and shade the floor square below each one; squares with nothing above them stay empty.
- The shaded top-down picture matches option E.
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