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This wooden block is 4 cm long, 3 cm deep and 2 cm high. Only its top (yellow) and front (blue) faces are painted. It is cut into 1 cm cubes. How many cubes have exactly one painted face?

Competition practiceDice & Cubes
  • A8
  • B12
  • C4
  • D16

Step-by-Step Solution

Top layer, not in the front row: cubes (yellow only). Front row, bottom layer: cubes (blue only). The 4 cubes along the top-front edge have two colours. So .
Answer: B) 12

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