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2021 Math Kangaroo

Problem 1

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

Which of the following solid shapes can be made with these 6 bricks?

Figure for Math Kangaroo 2021 Problem 1
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Answer: D
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Hint 1 of 2
The 6 bricks are 2 white and 4 grey, and each brick is a 1x1x2 block.
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Hint 2 of 2
Build the answer from twelve unit cubes (4 white, 8 grey) and check which picture shows exactly that count of each colour with the brick seams in the right places.
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Approach: match brick colours and seams to a solid
  1. Two white bricks and four grey bricks supply 4 white unit cubes and 8 grey unit cubes.
  2. The assembled solid must show that 2:1 grey-to-white split, with the visible faces and the seams between bricks lining up.
  3. Only choice D shows a solid whose colouring and brick seams can come from these six bricks.
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