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2022 Math Kangaroo

Problem 19

Problem 19 · 2022 Math Kangaroo Hard
Spatial & Visual Reasoning cube-views

Anna has glued together several cubes of the same size to form a solid (see picture). Which of the following pictures shows a different view of this same solid?

Figure for Math Kangaroo 2022 Problem 19
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Answer: C
Show hints
Hint 1 of 2
Count the cubes and note the solid's overall shape, then mentally rotate it.
Still stuck? Show hint 2 →
Hint 2 of 2
A valid view must keep the same number of cubes and the same connections, just seen from another side.
Show solution
Approach: rotate the solid and match cube count and connections
  1. The given solid has a fixed number of cubes joined in a particular way.
  2. Each option is checked to see whether it is the same solid seen from a different direction.
  3. Only C is a genuine rotation of the original solid.
  4. So the answer is C.
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