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SASMO 2021 Grade 4 Question 18

SASMO · SASMO 2021 Grade 4

Question 18

The solid shown was painted on all six faces and then cut into 54 smaller cubes. How many of these cubes have at least two faces painted?

Question illustration

Source clarification before answering: the dark scan does not show subdivision lines clearly. Use the source solution’s intended rectangular block of 3 × 3 × 6 equal cubes (six 3 × 3 layers). Only the exterior is painted before cutting.

Input: enter a whole number without units; leading zeroes from the paper answer grid may be omitted.