Vertices, faces and edges come up a many in major school geometry when children are learning about the properties of 3d shapes. Here we explain what every of this mean and how to job-related out the number of vertices, faces and edges for any kind of shape. We likewise include the variety of edges, faces and vertices that the most common shapes.

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This vocabulary is presented in the national curriculum in ~ Year 2, and also so the complying with information can be supplied with student throughout major school years. Even Year 1 pupils can start to communicate with nature of shapes in this way if you desire to offer them a head start!

Vertices, faces and edges of common 3d shapes

What room vertices?

Vertices (or crest in that singular form) space the allude where 2 or an ext line segments or edges meet. These have the right to be supplied to describe 2d and 3d shapes. ‘Corners’ is a word offered synonymous with vertices. Where possible, vertex and also vertices need to be supplied instead. A cube has actually 8 vertices. 7 space visible here and also one is hidden.


What room edges?

Edges room the line segments that join one vertex come another and also are additionally where the shape’s deals with meet. These can be provided to explain 2d and also 3d shapes. Although plenty of shapes have actually straight lines and also straight edges, over there are shapes which have actually curved edges, such as a hemisphere. A cube will have actually 12 straight edges as seen below; 9 room visible and also 3 are hidden.


What room faces?

Faces are the flat surface that a heavy shape. Because that example, a cuboid has actually 6 faces. When thinking around 2d and also 3d shapes, that is crucial to know that a 2d shape merely represents the confront of a 3d shape.

It is additionally important to understand that as our truth is created in 3 dimensions, it is impossible to physically manage 2d shapes as we room surrounded through 3-dimensional shapes. Therefore, if in your classroom over there is a drawer labelled ‘2d Shapes’ this should be eliminated as that is teaching kids a misconception. Although an interactive principle for the classroom, 2d shapes deserve to only exist together 2 dimensional drawings.

You deserve to have both level faces and also curved faces, however I discover it advantageous to describe curved deals with as bent surfaces as it matches well v the intuitive of the shape.

There are three deals with that are visible and three that are surprise on the cube below.


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Vertices, faces and also edges of typical 3d shapes

How plenty of faces, edges and vertices go a cuboid have?

A cuboid has actually 8 vertices.

A cuboid has 12 edges.

A cuboid has actually 6 faces.

How numerous faces, edges and also vertices does a cylinder have?

A cylinder has actually 0 vertices.

A cylinder has actually 2 edges.

A cylinder has 2 faces and 1 curved surface.

How countless faces, edges and also vertices go a hemisphere have?

A hemisphere has actually 0 vertices.

A hemisphere has actually 1 bent edge.

A hemisphere has 1 face and 1 bent surface.

How countless faces, edges and also vertices does a cone have?

A cone has 1 vertex.

A cone has 1 edge.

A hemisphere has 1 face and also 1 curved surface.

How plenty of faces, edges and also vertices does a tetrahedron have?

A tetrahedron has 4 vertices.

A tetrahedron has actually 6 edges.

A tetrahedron has actually 4 faces.

How countless faces, edges and vertices walk a sphere have?

A sphere has 0 vertices.

A tetrahedron has actually 0 edges.

A tetrahedron has 1 curved surface.

How numerous faces, edges and vertices does a prism have?

A prism is a hard object, geometric form or polyhedron where the encounters of both ends space the same shape. As such, students will come across many varieties of prisms throughout their schooling. Common ones incorporate cubes, cuboids, triangular prisms, pentagonal prisms and also hexagonal prisms.

Triangular Prism
Pentagonal Prism
Hexagonal Prism

When will my kid learn about vertices, faces and edges in major school?

Children should be formally presented to the vocabulary the vertices, faces and edges in Year 2 when studying geometry. However, teachers might make the choice to introduce this vocabulary previously on.

Year 2 pupils should be maybe to:

identify and also describe the properties of 3-D shapes, including the variety of edges, vertices and also faces

The non-statutory guidance says that:

Pupils handle and also name a wide selection of typical 2-d and also 3-d forms including: quadrilaterals and also polygons, and cuboids, prisms and also cones, and identify the nature of each shape (for example, number of sides, number of faces). College student identify, compare and also sort shapes on the communication of their properties and use vocabulary precisely, such together sides, edges, vertices and also faces.

From this allude on, the national curriculum walk not reference vertices, faces and edges explicitly again, so teacher in other year teams will have to continue to use this vocabulary once looking at shape

A slide from Third an are Learning’s virtual maths intervention, making use of the relationship in between 2d and also 3d shapes to help Year 3 pupils recognize vertices, faces and also edges.

How perform vertices, faces and edges relate come other locations of maths?

Students will use the expertise of vertices, faces and also edges as soon as looking in ~ 2d shapes as well as 3d shapes. Discovering what edges are and identifying castle on compound forms is an important for recognize the perimeter and area the 2d compound shapes. The is an essential foundation for later on years when dealing with different maths theorems, such together graph theory and parabolas.

How do vertices, faces and also edges relate to genuine life?

Any object in real life has vertices, faces and also edges. For example, a crystal is an octahedron – it has eight faces, twelve edges and six vertices. Discovering these nature for different three-dimensional forms lays the structure for various industries such together architecture, interior design, engineering and more.

Vertices, faces and edges example questions

1. Define what a peak is.

(Answer: A crest is where two lines meet)

2. How numerous edges does a triangular prism have?

(Answer: 9)

3. How many vertices go a cone have?

(Answer: 1 vertex)

4. How plenty of faces go a cuboid have? What space the 2D shapes of those faces?

(Answer: 6 faces. They can have 2 square faces and 4 rectangular faces or simply 6 rectangle-shaped faces.)

5. For every the typical prisms (cubes, cuboids, triangle prisms, pentagonal prisms and also hexagonal prisms) include the faces and vertices together and also subtract the edges. What execute you notification about the answers?

(Answer: The prize is always 2. This is recognized as Euler’s formula (number of vertices – variety of edges + number of faces = 2)

Wondering around how to explain other key maths vocabulary to her children? check out our primary Maths Dictionary, or try these:

You can discover plenty of geometry class plans and also printable worksheets for primary school college student on the Third an are Learning Maths Hub.

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