Top 33 How Many Faces Edges And Vertices Does A Sphere Have The 106 Correct Answer

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A sphere has zero edges, zero faces and zero vertices.Faces. A face is a flat or curved surface on a 3D shape. For example a cube has six faces, a cylinder has three and a sphere has just one.Spheres actually have 1 face, 0 edges, and 0 vertices. Here are the properties of other common 3D shapes: Cube: 6 faces, 12 edges, and 8 vertices.

How many faces do sphere have?

Faces. A face is a flat or curved surface on a 3D shape. For example a cube has six faces, a cylinder has three and a sphere has just one.

How much edges vertices and faces does a sphere have?

Spheres actually have 1 face, 0 edges, and 0 vertices. Here are the properties of other common 3D shapes: Cube: 6 faces, 12 edges, and 8 vertices.

How many vertices does a sphere have?

A sphere has 0 vertices. A sphere has 0 edges. A sphere has 1 curved surface.

What is the face of sphere?

A sphere has no faces, a cone has one circular face, and a cylinder has two circular faces. Therefore, the number of faces increases by one from one figure to the next.

How many flat faces and curved faces does a sphere have?

A sphere is a curved geometric body with only one rounded surface – a circular face. As a result, it does not have any edges or vertices. Edges are the segments where faces meet. Since there is only one face, they cannot be formed.

How many edges does a ball have?

Vertices, Faces and Edges of 3D shapes
Solid Name Vertices Edges
Cuboid 8 12
Cone 1 1
Cylinder 0 2
Sphere 0 0

How many faces does a circle have?

A circle has only one face and that is called the circular face.

What are faces edges and vertices?

Vertices, edges and faces

A face is a flat surface. An edge is where two faces meet. A vertex is a corner where edges meet. The plural is vertices.

Does a sphere only have one side?

A sphere does not have any sides, since it is a round-shaped object. It has a curved surface and not a flat surface.

Is a sphere one sided?

Among the closed surfaces the sphere and the torus are two-sided, while the Klein surface is one-sided. As examples of two-sided and one-sided situations one may cite imbeddings of the circle in the Möbius strip.

How many faces edges does a sphere have?

A sphere has zero edges, zero faces and zero vertices.

How many faces does a circle have?

A circle has only one face and that is called the circular face.

How many curved faces does a sphere have?

A sphere has no edges and therefore no corners. It has one curved face that goes all the way around.

Does a sphere only have one side?

A sphere does not have any sides, since it is a round-shaped object. It has a curved surface and not a flat surface.

How many planes does a sphere have?

A sphere contains infinitely many planes of symmetry. If a plane contains the center point, O, of the sphere, it is a plane of symmetry for the sphere.


Spheres. How Many Faces, Edges And Vertices Does A Sphere Have (3D Shape Properties).
Spheres. How Many Faces, Edges And Vertices Does A Sphere Have (3D Shape Properties).


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how many faces edges and vertices does a sphere have

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how many faces edges and vertices does a sphere have

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  • Summary of article content: Articles about how many faces edges and vertices does a sphere have Characteristics of a Sphere ; Cube: 6 faces, 12 edges, and 8 vertices; ; Square-based pyram: 5 aces, 8 edges and 5 vertices; ; Cubo: 6 faces, 12 edges and 8 … …
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how many faces edges and vertices does a sphere have
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Vertices, Faces and Edges in Maths (Vertices, Faces and Edges Examples)

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  • Summary of article content: Articles about Vertices, Faces and Edges in Maths (Vertices, Faces and Edges Examples) Cubes and cubos have 12 edges. Cones have 1 edge. Cylinders have 2 edges. Sphere has no edge. Ses of Shapes. The word … …
  • Most searched keywords: Whether you are looking for Vertices, Faces and Edges in Maths (Vertices, Faces and Edges Examples) Cubes and cubos have 12 edges. Cones have 1 edge. Cylinders have 2 edges. Sphere has no edge. Ses of Shapes. The word … Vertices, Faces and Edges are the three characteristics that define any three-dimensional shape. Euler’s formula gives the relationship between vertices, faces and edges. Learn in detail at BYJU’S.
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What are Vertices

What are Faces

What are Edges

Sides of Shapes

Vertices Faces and Edges of 3D shapes

Relation Between Vertices Faces and Edges (Euler’s Formula)

Solved Examples

Frequently Asked Questions – FAQs

Vertices, Faces and Edges in Maths (Vertices, Faces and Edges Examples)
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How Many Faces, Edges And Vertices Does A Sphere Have? – Blurtit

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Vertices, Faces and Edges

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Vertices, Edges, and Faces – 2nd Grade Math – Class Ace

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What Are Vertices, Faces And Edges? Explained For Primary School

Vertices, faces and edges come up a lot in primary school geometry when children are learning about the properties of 3d shapes. Here we explain what each of these mean and how to work out the number of vertices, faces and edges for any shape. We also include the number of edges, faces and vertices of the most common shapes.

This vocabulary is introduced in the national curriculum at Year 2, and so the following information can be used with pupils throughout primary school years. Even Year 1 pupils can begin to engage with properties of shapes in this way if you want to give them a head start!

What are vertices in shapes?

Vertices in shapes are the points where two or more line segments or edges meet (like a corner). The singular of vertices is vertex. For example a cube has 8 vertices and a cone has one vertex.

Vertices are sometimes called corners but when dealing with 2D and 3D shapes, the word vertices is preferred.

A cube has 8 vertices. 7 are visible here and one is hidden.

What are edges?

Edges are the line segments that join one vertex to another and are also where the shape’s faces meet. These can be used to describe 2d and 3d shapes.

Although many shapes have straight lines and straight edges, there are shapes which have curved edges, such as a hemisphere. A cube will have 12 straight edges as seen below; 9 are visible and 3 are hidden.

FREE 3D Shapes Independent Recap Worksheets Help your Year 2 (and older) pupils revise vertices, faces and edges with our free Independent Recap worksheets. Download Free Now!

What are faces?

Faces are the flat surface of a solid shape. For example, a cuboid has 6 faces. When thinking about 2d and 3d shapes, it is important to know that a 2d shape merely represents the face of a 3d shape.

It is also important to know that as our reality is constructed in 3 dimensions, it is impossible to physically handle 2d shapes as we are surrounded by 3-dimensional shapes. Therefore, if in your classroom there is a drawer labelled ‘2d Shapes’ this should be removed as it is teaching children a misconception. Although an interactive concept for the classroom, 2d shapes can only exist as 2 dimensional drawings.

You can have both flat faces and curved faces, but I find it helpful to refer to curved faces as curved surfaces as it matches well with the visual of the shape.

There are three faces that are visible and three that are hidden on the cube below.

Vertices, faces and edges of common 3d shapes

How many faces, edges and vertices does a cuboid have?

A cuboid has 8 vertices.

A cuboid has 12 edges.

A cuboid has 6 faces.

How many faces, edges and vertices does a cylinder have?

A cylinder has 0 vertices.

A cylinder has 2 edges.

A cylinder has 2 faces and 1 curved surface.

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

A hemisphere has 0 vertices.

A hemisphere has 1 curved edge.

A hemisphere has 1 face and 1 curved surface.

How many faces, edges and vertices does a cone have?

A cone has 1 vertex.

A cone has 1 edge.

A cone has 1 face and 1 curved surface.

How many faces, edges and vertices does a tetrahedron have?

A tetrahedron has 4 vertices.

A tetrahedron has 6 edges.

A tetrahedron has 4 faces.

How many faces, edges and vertices does a sphere have?

A sphere has 0 vertices.

A sphere has 0 edges.

A sphere has 1 curved surface.

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

A prism is a solid object, geometric shape or polyhedron where the faces of both ends are the same shape. As such, students will come across many types of prisms throughout their schooling. Common ones include cubes, cuboids, triangular prisms, pentagonal prisms and hexagonal prisms.

Shape Pictorial Faces Edges Vertices Triangular Prism 5 9 6 Pentagonal Prism 7 15 10 Hexagonal Prism 8 18 12 Cube 6 12 8 Cuboid 6 12 8

When do children learn about vertices, faces and edges in primary school?

Children need to be formally introduced to the vocabulary of vertices, faces and edges in Year 2 when studying geometry. However, teachers may make the choice to introduce this vocabulary earlier on.

Year 2 pupils should be able to:

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

The non-statutory guidance states that:

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

From this point on, the national curriculum does not reference vertices, faces and edges explicitly again, so teachers in other year groups will have to continue to use this vocabulary when looking at shape

A slide from Third Space Learning’s online maths intervention, using the relationship between 2d and 3d shapes to help Year 3 pupils identify vertices, faces and edges.

How do vertices, faces and edges relate to other areas of maths?

Students will use the knowledge of vertices, faces and edges when looking at 2d shapes as well as 3d shapes. Knowing what edges are and identifying them on compound shapes is crucial for finding the perimeter and area of 2d compound shapes. It is an important foundation for later years when dealing with different maths theorems, such as graph theory and parabolas.

How do vertices, faces and edges relate to real life?

Any object in real life has vertices, faces and edges. For example, a crystal is an octahedron – it has eight faces, twelve edges and six vertices. Knowing these properties for different three-dimensional shapes lays the foundation for various industries such as architecture, interior design, engineering and more.

Vertices, faces and edges example questions

1. Explain what a vertex is.

(Answer: A vertex is where two lines meet)

2. How many edges does a triangular prism have?

(Answer: 9)

3. How many vertices does a cone have?

(Answer: 1 vertex)

4. How many faces does a cuboid have? What are the 2D shapes of those faces?

(Answer: 6 faces. They can have 2 square faces and 4 rectangular faces or just 6 rectangular faces.)

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

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

Wondering about how to explain other key maths vocabulary to your children? Check out our Primary Maths Dictionary, or try these:

You can find plenty of geometry lesson plans and printable worksheets for primary school pupils on the Third Space Learning Maths Hub.

Online 1-to-1 maths lessons trusted by schools and teachers

Every week Third Space Learning’s maths specialist tutors support thousands of primary school children with weekly online 1-to-1 lessons and maths interventions. Since 2013 we’ve helped over 110,000 children become more confident, able mathematicians. Learn more or request a personalised quote to speak to us about your needs and how we can help.

Our online tuition for maths programme provides every child with their own professional one to one maths tutor

What Are Vertices, Faces And Edges? Explained For Primary School

Vertices, faces and edges come up a lot in primary school geometry when children are learning about the properties of 3d shapes. Here we explain what each of these mean and how to work out the number of vertices, faces and edges for any shape. We also include the number of edges, faces and vertices of the most common shapes.

This vocabulary is introduced in the national curriculum at Year 2, and so the following information can be used with pupils throughout primary school years. Even Year 1 pupils can begin to engage with properties of shapes in this way if you want to give them a head start!

What are vertices in shapes?

Vertices in shapes are the points where two or more line segments or edges meet (like a corner). The singular of vertices is vertex. For example a cube has 8 vertices and a cone has one vertex.

Vertices are sometimes called corners but when dealing with 2D and 3D shapes, the word vertices is preferred.

A cube has 8 vertices. 7 are visible here and one is hidden.

What are edges?

Edges are the line segments that join one vertex to another and are also where the shape’s faces meet. These can be used to describe 2d and 3d shapes.

Although many shapes have straight lines and straight edges, there are shapes which have curved edges, such as a hemisphere. A cube will have 12 straight edges as seen below; 9 are visible and 3 are hidden.

FREE 3D Shapes Independent Recap Worksheets Help your Year 2 (and older) pupils revise vertices, faces and edges with our free Independent Recap worksheets. Download Free Now!

What are faces?

Faces are the flat surface of a solid shape. For example, a cuboid has 6 faces. When thinking about 2d and 3d shapes, it is important to know that a 2d shape merely represents the face of a 3d shape.

It is also important to know that as our reality is constructed in 3 dimensions, it is impossible to physically handle 2d shapes as we are surrounded by 3-dimensional shapes. Therefore, if in your classroom there is a drawer labelled ‘2d Shapes’ this should be removed as it is teaching children a misconception. Although an interactive concept for the classroom, 2d shapes can only exist as 2 dimensional drawings.

You can have both flat faces and curved faces, but I find it helpful to refer to curved faces as curved surfaces as it matches well with the visual of the shape.

There are three faces that are visible and three that are hidden on the cube below.

Vertices, faces and edges of common 3d shapes

How many faces, edges and vertices does a cuboid have?

A cuboid has 8 vertices.

A cuboid has 12 edges.

A cuboid has 6 faces.

How many faces, edges and vertices does a cylinder have?

A cylinder has 0 vertices.

A cylinder has 2 edges.

A cylinder has 2 faces and 1 curved surface.

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

A hemisphere has 0 vertices.

A hemisphere has 1 curved edge.

A hemisphere has 1 face and 1 curved surface.

How many faces, edges and vertices does a cone have?

A cone has 1 vertex.

A cone has 1 edge.

A cone has 1 face and 1 curved surface.

How many faces, edges and vertices does a tetrahedron have?

A tetrahedron has 4 vertices.

A tetrahedron has 6 edges.

A tetrahedron has 4 faces.

How many faces, edges and vertices does a sphere have?

A sphere has 0 vertices.

A sphere has 0 edges.

A sphere has 1 curved surface.

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

A prism is a solid object, geometric shape or polyhedron where the faces of both ends are the same shape. As such, students will come across many types of prisms throughout their schooling. Common ones include cubes, cuboids, triangular prisms, pentagonal prisms and hexagonal prisms.

Shape Pictorial Faces Edges Vertices Triangular Prism 5 9 6 Pentagonal Prism 7 15 10 Hexagonal Prism 8 18 12 Cube 6 12 8 Cuboid 6 12 8

When do children learn about vertices, faces and edges in primary school?

Children need to be formally introduced to the vocabulary of vertices, faces and edges in Year 2 when studying geometry. However, teachers may make the choice to introduce this vocabulary earlier on.

Year 2 pupils should be able to:

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

The non-statutory guidance states that:

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

From this point on, the national curriculum does not reference vertices, faces and edges explicitly again, so teachers in other year groups will have to continue to use this vocabulary when looking at shape

A slide from Third Space Learning’s online maths intervention, using the relationship between 2d and 3d shapes to help Year 3 pupils identify vertices, faces and edges.

How do vertices, faces and edges relate to other areas of maths?

Students will use the knowledge of vertices, faces and edges when looking at 2d shapes as well as 3d shapes. Knowing what edges are and identifying them on compound shapes is crucial for finding the perimeter and area of 2d compound shapes. It is an important foundation for later years when dealing with different maths theorems, such as graph theory and parabolas.

How do vertices, faces and edges relate to real life?

Any object in real life has vertices, faces and edges. For example, a crystal is an octahedron – it has eight faces, twelve edges and six vertices. Knowing these properties for different three-dimensional shapes lays the foundation for various industries such as architecture, interior design, engineering and more.

Vertices, faces and edges example questions

1. Explain what a vertex is.

(Answer: A vertex is where two lines meet)

2. How many edges does a triangular prism have?

(Answer: 9)

3. How many vertices does a cone have?

(Answer: 1 vertex)

4. How many faces does a cuboid have? What are the 2D shapes of those faces?

(Answer: 6 faces. They can have 2 square faces and 4 rectangular faces or just 6 rectangular faces.)

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

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

Wondering about how to explain other key maths vocabulary to your children? Check out our Primary Maths Dictionary, or try these:

You can find plenty of geometry lesson plans and printable worksheets for primary school pupils on the Third Space Learning Maths Hub.

Online 1-to-1 maths lessons trusted by schools and teachers

Every week Third Space Learning’s maths specialist tutors support thousands of primary school children with weekly online 1-to-1 lessons and maths interventions. Since 2013 we’ve helped over 110,000 children become more confident, able mathematicians. Learn more or request a personalised quote to speak to us about your needs and how we can help.

Our online tuition for maths programme provides every child with their own professional one to one maths tutor

Vertices, Faces and Edges in Maths (Vertices, Faces and Edges Examples)

Vertices, Faces And Edges

Vertices, Faces and Edges are the three properties that define any three-dimensional solid. A vertex is the corner of the shape whereas a face is a flat surface and an edge is a straight line between two faces. 3d shapes faces, edges and vertices, differs from each other.

In our day-to-day life activities, we come across a number of objects of different shapes and sizes. There are golf balls, doormats, ice-cream cones, coke cans and so on. These objects have different characteristic properties such as length, breadth, diameter, etc., which set them apart from one another. But no matter how different their dimensions are, all of them occupy space and have three dimensions. So they are referred to as three-dimensional Shapes or solids.

There are figures that can be represented on a plane (as a piece of paper) and have 2 dimensions, length, and breadth. And they are referred to as two-dimensional or plane figures. In this article, we will discuss the faces, edges and vertex meaning in Maths for the solid objects.

What are Vertices?

The formal definition for the vertex meaning in Maths is defined as a point where two or more edges meet. Vertices are the corner points.

Cubes and cuboids have 8 vertices.

Cones have 1 vertex.

Cylinders have no vertex.

Spheres have no vertex (the surface is a curve).

What are Faces?

Every individual flat surface of a solid is called its face. Solids have more than one face.

Cubes and cuboids have 6 faces.

Cones have a flat face and a curved face.

Cylinders have 2 flat faces and a curved face.

A sphere has a curved face.

What are Edges?

The line segment which acts as an interface between two faces is called an edge. Sometimes it is also described as the line segment joining two vertices.

Cubes and cuboids have 12 edges.

Cones have 1 edge.

Cylinders have 2 edges.

Sphere has no edge.

Sides of Shapes

The word “side” is usually used for polygons such as a square has four sides, a triangle has three sides, a pentagon has five sides.

Vertices, Faces and Edges of 3D shapes

Let us compare the vertices, faces and edges of solid shapes with the help of a table.

Solid Name Vertices Faces Edges Cube 8 6 (square faces) 12 Cuboid 8 6 (rectangular faces) 12 Cone 1 2 1 Cylinder 0 3 2 Sphere 0 1 0

Relation Between Vertices, Faces and Edges (Euler’s Formula)

The relation between vertices, faces and edges can be easily determined with the help of Euler’s Formula. Having learned about the faces, edges, and vertices of solids, let us note an interesting relationship between the three of them. It is to be kept in mind that the formula holds good for closed solids which have flat faces and straight edges such as the cuboids. It cannot be used for cylinders because they have curved edges.

Euler’s formula is given by

F + V – E = 2

Where F, V, and E are the number of faces, vertices, and edges of the polyhedra respectively.

Related Articles

Solved Examples

Q.1: A cube has 6 faces, 12 edges and 8 vertices. Prove Euler’s formula for the cube.

Solution: Given, a cube has 6 faces, 12 edges and 8 vertices.

Therefore, according to Euler’s formula,

F + V – E = 2

Taking L.H.S.,

6 + 8 – 12

= 14 – 12

= 2 (R.H.S)

Hence, proved.

Q.2: How many faces, edges and vertices are there for a triangular prism?

Solution: A triangular prism is a polyhedron that has 5 faces, 6 vertices and 9 edges.

Practice Questions

What is the meaning of vertices? How many vertices are there for a cone? Tell the number of edges for a sphere. A cylinder has 5 surfaces. True or false.

To learn more about edges, faces, and vertices meaning, formulas for different solid shapes in Maths, download BYJU’S – The Learning App.

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