Problem 4 · 2010 Math Kangaroo
Easy
Spatial & Visual Reasoning
spatial-reasoning
For transport, games are packed in several equally sized cube-shaped boxes. Every eight of these are packed into a bigger cubic box. How many of the small boxes are on the bottom level of the bigger box?
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Answer: D — 4
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Hint 1 of 2
A bigger cube made of eight equal cubes is a 2×2×2 stack.
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Hint 2 of 2
Just look at one floor of that 2×2×2 arrangement.
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Approach: picture the 2x2x2 cube
- Eight equal cubes packed into a cube form a 2×2×2 block.
- Each level (floor) is a 2×2 square of cubes = 4 boxes.
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