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Find the numbers of faces, edges, and vertices of the solid.

Find the numbers of faces, edges, and vertices of the solid.-example-1
User Adam Hess
by
6.1k points

1 Answer

11 votes

Answer:

  • 7 faces
  • 15 edges
  • 10 vertices

Explanation:

This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.

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Faces

There are two pentagonal faces and 5 rectangular faces for a total of ...

7 faces

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Edges

There are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...

15 edges

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Vertices

There are 5 vertices on the top face, and 5 on the bottom face, for a total of ...

10 vertices

User Steve Eggering
by
6.0k points