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A hexagonal prism standing on its base is cut by a plane inclined to the base and crossing all six faces. The section has

  • A.six sides of unequal length
  • B.six sides of equal length as in the base
  • C.three sides only
  • D.a curved boundary throughout

Answer: A

Correct answer: six sides of unequal length

The plane crosses all six faces, so the section has six sides; but each face is met at a different position and the inclination stretches the distances between them unequally, so the hexagon is not regular. The angles between adjacent sides are likewise altered from those of the base.

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