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A hexagonal prism of 25 mm base side resting on its base has a plan across corners measuring

  • A.50 mm
  • B.43.3 mm
  • C.25 mm
  • D.75 mm

Answer: A

Correct answer: 50 mm

In a regular hexagon the distance across corners is twice the side, because the hexagon divides into six equilateral triangles with the side as every edge: \[ 2 \times 25 = 50\ \mathrm{mm}. \] Since the prism stands on its base, the plan shows the hexagon at true size, so this is also the measurement on the drawing.

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