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2021 Math Kangaroo

Problem 1

Problem 1 · 2021 Math Kangaroo Easy
Spatial & Visual Reasoning cube-viewsspatial-reasoning

Erik has 4 bricks of the same size (shown above). Which of the cubes shown below can he make with his 4 bricks?

Figure for Math Kangaroo 2021 Problem 1
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Answer: C
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Hint 1 of 2
Erik only has one shape of brick, so the cube he builds must be made of 4 copies of that same brick.
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Hint 2 of 2
Look at each cube and try to slice it into 4 pieces that are all the same shape as Erik's brick.
Show solution
Approach: match the cube whose four equal pieces are all the same brick shape
  1. Erik has 4 copies of one single brick shape, so the cube must split into 4 pieces that all look exactly like that brick.
  2. Go cube by cube and try to cut each one into 4 identical bricks.
  3. Only the cube in C comes apart into 4 bricks that match Erik's, so that is the one he can build.
  4. So the answer is C.
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