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SASMO 2022 Grade 6 Question 2

SASMO · SASMO 2022 Grade 6

Question 2

Mason built a pyramid using identical cubes. It is shown below from different angles. Mason paints the whole pyramid green. How many cubes have exactly 3 faces painted green?

Question illustration

Question illustration

Interpretation of the dark source diagrams: use four centered, solid square layers of side lengths 7, 5, 3 and 1 cubes from bottom to top. Paint every exposed face, including the underside. The clear plan-view schematic is editorial and makes this intended model explicit; it does not recover hidden grid lines from the scan.
  1. 12
  2. 24
  3. 28
  4. 36
  5. None of the above