Relation Between Faces, Edges And Vertices of 3D Shapes
F + V = 2 + E
where,
F is the number of faces,
V is the number of vertices,
E is the number of edges
Euler’s formula is applicable for closed solids that have flat sides and straight edges, such as cuboids. It is not applied to solids that have curved edges, such as cylinders, spheres, etc.
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Faces, Edges And Vertices of 3D Shapes
Faces, Edges, And Vertices of 3D Shapes: Faces, Edges, and Vertices are the three basic properties that are used to define various 3D objects. They have different dimensions like length, width, and height.
Faces are the flat surfaces of a 3D shape. They are bounded by edges and are what give the shape its appearance. Edges are the straight lines where two faces of a 3D shape meet. They form the boundaries between faces and help define the shape’s overall structure. Vertices (singular: vertex) are the points where the edges of a 3D shape meet. They are essentially the corners of the shape.
In this article, we are going to learn about the faces, edges, and vertices of different 3D shapes in detail.
Table of Content
- What are Faces?
- What are Edges?
- What are Vertices?
- Types of Polyhedron
- Faces, Edges And Vertices of 3D Shapes
- Euler’s Formula
- Relation Between Faces, Edges And Vertices of 3D Shapes
- Faces, Edges And Vertices of 3D Shapes Examples
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