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Geometry & anglesMCQ · 1 mark

A pentagonal prism has two pentagonal faces joined by rectangular faces. How many edges does the prism have?

  1. 10
  2. 15
  3. 7
  4. 12
Need a hint?

Count the edges of the top and bottom faces, then count the edges that join them.

Worked answer

  1. Each pentagon has 5 edges, so the two pentagonal faces have 5 + 5 = 10 edges.
  2. There are 5 vertical edges joining the top and bottom pentagons, one at each corner.
  3. Total edges = 10 + 5 = 15.
Answer: 15

The mistake this question tests

Habit

Calculation slip

Pupils count only the edges of the two pentagons and forget the 5 vertical edges that join them, getting 10.

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