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Q: How many parallel and symmetry line has pentagonal based prism?

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No because a pentagonal prism has a unified cross-section

Each and every prism has two parallel congruent bases. It is the shape of these bases that give the name to the prism: a pentagonal prism has pentagons (not necessarily regular) for its bases.

I am guessing 6 parelle sides.

It is simply called a pentagonal prism. That is a prism based on the 2D shape known as a pentagon.

Pentagonal Prism = 2 pentagonal bases , 5 lateral faces, 10 vertices Pentagonal Prism = 7 faces, 15 edges

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6

It can have one, two or three pairs of parallel faces.

pentagonal based prism

5

5 pairs of parallel lines, plus a set of 5 parallels.

Yes, its bases will normally be parallel.

No because a pentagonal prism has a unified cross-section

8

6

Each and every prism has two parallel congruent bases. It is the shape of these bases that give the name to the prism: a pentagonal prism has pentagons (not necessarily regular) for its bases.

It need not have any. It can have two.

pentagonal based prism

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