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This block, 3 cm long, 2 cm deep and 4 cm tall, is painted yellow on all six faces and cut into 1 cm cubes. How many of the cubes have exactly one painted face?

Competition practiceDice & Cubes
  • A8
  • B4
  • C12
  • D0

Step-by-Step Solution

Every cube touches the front or the back, because the block is only 2 cubes deep. A cube has just that one painted face if it is also in the middle column (1 of 3) and not in the top or bottom layer (2 of 4): . (12 is the number of two-face cubes and 8 the number of corners.)
Answer: B) 4

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