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Cutting a vertical square prism by a plane parallel to its base produces a section that is

  • A.a trapezium with unequal parallel sides
  • B.a square identical to the base
  • C.a rectangle longer than the base
  • D.a triangle of half the base area

Answer: B

Correct answer: a square identical to the base

A prism has a constant cross-section along its length, so any plane parallel to the base cuts it in exactly the same figure. The height at which the cut is made makes no difference - which is what distinguishes a prism from a pyramid, where the section shrinks as the cut rises.

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