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.

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:

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.

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)

2)

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

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