Problem 4 · 2025 Math Kangaroo
Easy
Spatial & Visual Reasoning
cube-viewscareful-counting
Grey squares of equal size are glued onto a cube (see picture). All surfaces of the cube then look the same. How many grey squares were used in total?
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Answer: D — 18
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Hint 1 of 2
A cube has 6 faces, and the puzzle says every face ends up looking exactly the same.
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Hint 2 of 2
So count the grey squares on just one face, then multiply by 6.
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Approach: count one face, then multiply by six
- Because all six faces look identical, you only need to count the grey squares on a single face and then multiply.
- Each face carries 3 grey squares in its diamond design.
- With 6 matching faces that makes 3 × 6 = 18 grey squares in total, so the answer is (D) 18.
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