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A hexagonal pyramid of 30 mm base side has a development whose total arc-wise base length is

  • A.60 mm
  • B.180 mm
  • C.30 mm
  • D.90 mm

Answer: B

Correct answer: 180 mm

The base edges of the six triangular faces lie end to end along the bottom of the pattern, so their total is the base perimeter: \[ 6 \times 30 = 180\ \mathrm{mm}. \] It is called an arc-wise length because the faces fan about the apex, so the base line of the pattern is not straight.

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