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1995 AMC 12 Question 30

AMC12 · 1995 AMC 12

Question 30

A large cube is formed by stacking $27$ unit cubes. A plane is perpendicular to one of the internal diagonals of the large cube and bisects that diagonal. The number of unit cubes that the plane intersects is
  1. $16$
  2. $17$
  3. $18$
  4. $19$
  5. $20$