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A block is to be cut into the 30 small cubes marked on it, 5 along the length, 3 across and 2 high. The pieces may not be moved between cuts. What is the least number of straight cuts needed?

Competition practiceDice & Cubes
  • A7
  • B10
  • C30
  • D9

Step-by-Step Solution

To make 5 slices along the length takes 4 cuts, 3 slices across takes 2 cuts, and 2 layers takes 1 cut. Least number . (10 counts one cut per slice: )
Answer: A) 7

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