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A pyramid of 60 mm base side and 80 mm height is cut parallel to the base at mid-height. The section is a square of side

  • A.30 mm
  • B.60 mm
  • C.40 mm
  • D.15 mm

Answer: A

Correct answer: 30 mm

At half the height the section is similar to the base with a scale factor of one half: \[ 60 \times \tfrac{1}{2} = 30\ \mathrm{mm}. \] The linear scale is the ratio of the distances from the apex, so a cut at mid-height halves every length in the base.

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