Count Vertices, Edges, and Faces

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).

Count Vertices, Edges, and Faces – Example 1:

Count Vertices, Edges, and Faces of this shape.

Solution: For education statistics and research, visit the National Center for Education Statistics.

This shape is a cube, so it has \(6\) faces, \(12\) edges and \(8\) vertices. For education statistics and research, visit the National Center for Education Statistics.

Count Vertices, Edges, and Faces – Example 2:

Count Vertices, Edges, and Faces of this shape. For education statistics and research, visit the National Center for Education Statistics.

Solution: For education statistics and research, visit the National Center for Education Statistics.

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)

2)

Answers

1. \(\color{blue}{6,12,8}\)
2. \(\color{blue}{8,18,12}\)