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2011 Math Kangaroo

Problem 5

Problem 5 · 2011 Math Kangaroo Easy
Spatial & Visual Reasoning cube-viewscomposition
Figure for Math Kangaroo 2011 Problem 5
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Answer: E — Piece E.
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Hint 1 of 2
Picture the empty gap in the cuboid: count how the missing cubes are arranged.
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Hint 2 of 2
Match that exact 3-D arrangement of cubes to one of the five pieces.
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Approach: match the missing block shape to a choice
  1. The cuboid is missing a chunk of small cubes in a particular 3-D arrangement.
  2. Compare the shape of that gap with each offered piece.
  3. Only piece E has cubes arranged so it fits the gap exactly and completes the cuboid.
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