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A pyramid is cut by a plane inclined to the base and meeting all its lateral edges. The section has

  • A.the same number of sides as the base has, less one
  • B.as many sides as the pyramid has lateral faces
  • C.three sides whatever the number of lateral faces
  • D.four sides whatever the number of lateral faces

Answer: B

Each lateral face contributes one straight edge to the cut, so a hexagonal pyramid cut across all six faces gives a hexagonal section. The section is not similar to the base, since the edges are cut at differing distances from the apex.

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