Count Vertices, Edges, and Faces
The purpose of this article is to make you more familiar with the features of 3D objects. So join us!
![Count Vertices, Edges, and Faces](https://www.effortlessmath.com/wp-content/uploads/2022/03/Blog-Count-Vertices-Edges-and-Faces-512x240.jpg)
As stated previously, \(3D\) shapes, as well as objects, are distinct from \(2D\) shapes and objects due to the existence of the \(3\) dimensions – length, width (breadth), and height. Because of these \(3\) dimensions, these things have faces, edges, and vertices.
Related Topics
- Volume of Cubes
- How to Calculate Cylinder Volume and Surface Area?
- How to Find the Volume of Cones and Pyramids?
- How to Find the volume and surface area of Rectangular Prisms?
Faces
- Faces refer to any one curved or flat surface of a solid item.
- A \(3D\) shape could have one or more faces.
Edges
- Edges are line segments on the boundary linking one vertex (corner point) to another one.
- These act as a junction of \(2\) faces.
Vertices
- A point where \(2\) or more lines meet up is known as a vertex.
- It’s a corner.
- The place edges intersect signifies the vertices.
The subsequent table displays the faces, edges, and vertices of some three-dimensional shapes (\(3D\) shapes).
\(3D\) shapes | Faces | Edges | Vertices |
Sphere | \(1\) | \(0\) | \(0\) |
Cylinder | \(3\) | \(2\) | \(0\) |
Cone | \(2\) | \(1\) | \(1\) |
Cube | \(6\) | \(12\) | \(8\) |
Rectangular Prism | \(6\) | \(12\) | \(8\) |
Triangular Prism | \(5\) | \(9\) | \(6\) |
Pentagonal Prism | \(7\) | \(15\) | \(10\) |
Hexagonal Prism | \(8\) | \(18\) | \(12\) |
Square Pyramid | \(5\) | \(8\) | \(5\) |
Triangular Pyramid | \(4\) | \(6\) | \(4\) |
Pentagonal Pyramid | \(6\) | \(10\) | \(6\) |
Hexagonal Pyramid | \(7\) | \(12\) | \(7\) |
Count Vertices, Edges, and Faces – Example 1:
Count Vertices, Edges, and Faces of this shape.
![](https://www.effortlessmath.com/wp-content/uploads/2022/03/Cube-3.png)
Solution:
This shape is a cube, so it has \(6\) faces, \(12\) edges and \(8\) vertices.
Count Vertices, Edges, and Faces – Example 2:
Count Vertices, Edges, and Faces of this shape.
![](https://www.effortlessmath.com/wp-content/uploads/2022/03/Cylinder.png)
Solution:
This shape is a cylinder, so it has \(3\) faces, \(2\) edges and \(0\) vertices.
Exercises for Counting Vertices, Edges, and Faces
Count Vertices, Edges, and Faces of these shapes.
1)
![](https://www.effortlessmath.com/wp-content/uploads/2022/03/Prism2.png)
2)
![](https://www.effortlessmath.com/wp-content/uploads/2022/03/Hexagonal-Prism.png)
![This image has an empty alt attribute; its file name is answer-3.png](https://www.effortlessmath.com/wp-content/uploads/2020/04/answer-3.png)
Answers
- \(\color{blue}{6,12,8}\)
- \(\color{blue}{8,18,12}\)
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