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Just one of these quantities is unchanged when a cylinder is cut obliquely. Which?

  • A.the area of the lateral development
  • B.the length of the stretch-out line
  • C.the shape of the upper boundary of the pattern
  • D.the length of the longest generator

Answer: B

Correct answer: the length of the stretch-out line

The oblique cut removes material from the top and leaves the base untouched, so the base circumference - and therefore the stretch-out line - is unchanged. The area falls, the upper boundary becomes a curve instead of a straight line, and the longest generator is whatever the cut leaves.

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