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SASMO 2022 Grade 4 Question 7

SASMO · SASMO 2022 Grade 4

Question 7

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

Question illustration

Source convention: the centred solid has complete layers of 5 × 5, 3 × 3 and 1 identical cubes, with no hidden gaps. Paint every exposed exterior face, including the underside, without separating the cubes. Faces where cubes touch are not painted.
  1. 4
  2. 8
  3. 16
  4. 35
  5. None of the above