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Cutting a vertical square prism by a plane inclined to its base gives a section whose shape is

  • A.a triangle with its apex on the axis
  • B.a circle inscribed within the base square
  • C.a rectangle longer than the base in one direction
  • D.a square identical to the base in every respect

Answer: C

Correct answer: a rectangle longer than the base in one direction

The cut still crosses the same two pairs of faces, so the figure remains a rectangle; but the distance between the two faces it crosses obliquely is stretched by the inclination, while the other pair is unaffected. One dimension of the base is therefore preserved and the other lengthened.

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