Vertices, faces and edges come increase a many in primary school geometry when youngsters are learning around the properties of 3d shapes. Below we describe what each of this mean and how to work out the variety of vertices, faces and edges for any shape. We also include the number of edges, faces and also vertices of the most common shapes.

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This vocabulary is presented in the national curriculum at Year 2, and also so the complying with information deserve to be used with pupils throughout primary school years. Even Year 1 college student can begin to communicate with nature of forms in this method if you desire to provide them a head start!

Vertices, faces and edges of usual 3d shapes

What space vertices?

Vertices (or peak in its singular form) room the point where 2 or much more line segments or edge meet. These deserve to be offered to explain 2d and also 3d shapes. ‘Corners’ is a word used synonymous through vertices. Wherein possible, vertex and also vertices should be provided instead. A cube has actually 8 vertices. 7 are visible here and also one is hidden.


What are edges?

Edges are the heat segments that sign up with one vertex to another and also are additionally where the shape’s deals with meet. These deserve to be offered to explain 2d and 3d shapes. Although plenty of shapes have actually straight lines and also straight edges, over there are forms which have actually curved edges, such as a hemisphere. A cube will have 12 directly edges as watched below; 9 are visible and also 3 space hidden.


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What space faces?

Faces are the level surface of a solid shape. Because that example, a cuboid has actually 6 faces. Once thinking about 2d and also 3d shapes, that is vital to know that a 2d shape just represents the confront of a 3d shape.

It is also important to understand that together our fact is constructed in 3 dimensions, the is difficult to physically take care of 2d shapes as we room surrounded by 3-dimensional shapes. Therefore, if in her classroom there is a drawer labelled ‘2d Shapes’ this have to be eliminated as it is teaching youngsters a misconception. Back an interactive concept for the classroom, 2d shapes deserve to only exist as 2 dimensional drawings.

You can have both level faces and curved faces, however I find it valuable to refer to curved faces as curved surfaces together it matches well v the visual of the shape.

There room three encounters that room visible and also three the are covert on the cube below.


Vertices, faces and also edges of typical 3d shapes

How numerous faces, edges and vertices go a cuboid have?

A cuboid has 8 vertices.

A cuboid has 12 edges.

A cuboid has actually 6 faces.

How plenty of faces, edges and vertices walk a cylinder have?

A cylinder has 0 vertices.

A cylinder has 2 edges.

A cylinder has actually 2 faces and also 1 bent surface.

How countless faces, edges and vertices does a hemisphere have?

A hemisphere has actually 0 vertices.

A hemisphere has actually 1 bent edge.

A hemisphere has actually 1 face and 1 bent surface.

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

A cone has 1 vertex.

A cone has actually 1 edge.

A hemisphere has 1 face and also 1 curved surface.

How many faces, edges and also vertices go a tetrahedron have?

A tetrahedron has actually 4 vertices.

A tetrahedron has actually 6 edges.

A tetrahedron has actually 4 faces.

How many faces, edges and vertices go a ball have?

A sphere has actually 0 vertices.

A tetrahedron has 0 edges.

A tetrahedron has 1 curved surface.

How numerous faces, edges and also vertices walk a prism have?

A prism is a hard object, geometric shape or polyhedron whereby the encounters of both ends are the same shape. As such, students will certainly come across many varieties of prism throughout your schooling. Usual ones include cubes, cuboids, triangular prisms, pentagonal prisms and also hexagonal prisms.

Triangular Prism
Pentagonal Prism
Hexagonal Prism

When will my son learn about vertices, faces and also edges in main school?

Children have to be formally presented to the vocabulary of vertices, faces and also edges in Year 2 once studying geometry. However, teachers may make the selection to present this vocabulary previously on.

Year 2 pupils should be able to:

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

The non-statutory guidance says that:

Pupils handle and also name a wide range of common 2-d and 3-d shapes including: quadrilaterals and polygons, and cuboids, prisms and cones, and identify the nature of each shape (for example, variety of sides, number of faces). College student identify, compare and also sort shapes on the basis of your properties and also use vocabulary precisely, such as sides, edges, vertices and also faces.

From this point on, the national curriculum go not referral vertices, faces and also edges explicitly again, so teacher in various other year teams will have to proceed to usage this vocabulary once looking at shape

A slide from Third space Learning’s virtual maths intervention, utilizing the relationship between 2d and 3d shapes to assist Year 3 pupils determine vertices, faces and edges.

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

Students will use the knowledge of vertices, faces and edges when looking at 2d shapes and 3d shapes. Learning what edge are and identifying castle on compound forms is crucial for recognize the perimeter and area that 2d compound shapes. That is vital foundation for later years when dealing with different maths theorems, such together graph theory and parabolas.

How execute vertices, faces and also edges called to genuine life?

Any thing in genuine life has vertices, faces and edges. Because that example, a decision is an octahedron – it has actually eight faces, twelve edges and six vertices. Discovering these properties for various three-dimensional forms lays the structure for various markets such together architecture, interior design, engineering and also more.

Vertices, faces and edges example questions

1. Define what a crest is.

(Answer: A peak is where 2 lines meet)

2. How many edges go a triangular prism have?

(Answer: 9)

3. How countless vertices walk a cone have?

(Answer: 1 vertex)

4. How countless faces go a cuboid have? What room the 2D forms of those faces?

(Answer: 6 faces. They deserve to have 2 square faces and 4 rectangular deals with or simply 6 rectangle-shaped faces.)

5. For every the common prisms (cubes, cuboids, triangular prisms, pentagonal prisms and also hexagonal prisms) add the faces and also vertices together and also subtract the edges. What perform you notice about the answers?

(Answer: The price is constantly 2. This is well-known as Euler’s formula (number the vertices – number of edges + number of faces = 2)

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

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

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