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Question

How many faces, edges, and vertices are in an octagonal prism?


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Solution

Step 1: Features of an Octagonal Prism

Regular octagonal prism - 3d geometric solid - Polyhedr.com
  1. The octagonal prism is formed by square sides and two regular octagon caps.
  2. A prism composed of octagonal faces is called an octagonal prism.
  3. The two faces at either end are octagons and the rest of the faces are rectangular.

Step 2: Number of faces, edges, and vertices

  1. An octagonal prism has 10 number of faces.
  2. There are 8 vertical faces, one at top and one at the bottom.
  3. Therefore, an octagonal prism has 24 number of edges.
  4. There are 8 edges around the top face, 8 vertical edges, and 8 edges around the bottom face.
  5. Therefore, an octagonal prism has 16 number of vertices.
  6. 8 vertices where the top edges meet the vertical edges and 8 vertices where the bottom edges meet the vertical edges.

Hence, an octagonal prism has 10 faces, 24 vertices and 16 vertices.


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