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A stack of cubes covers part of a grid 3 squares wide and 2 deep. Its front and side views are drawn. What is the least number of cubes it can have?

Competition practiceDice & Cubes
  • A8
  • B6
  • C4
  • D5

Step-by-Step Solution

Bottom layer: the front view needs all 3 lines and the side view both rows, so at least 3 cubes. Second layer: 2 lines but only 1 row (the front row in the side view is 2 high), so 2 cubes in that row. Least . (8 is the greatest possible.)
Answer: D) 5

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