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A 3D shape is described by its edges, faces, and vertices (vertex is the singular form of vertices).

This video and images below explain the faces, vertices and edges of common three-dimensional shapes.

Properties of 3D Shapes Explained Diagram

A face is a 2D shape that makes up one surface of a 3D shape, an edge is where two faces meet and a vertex is the point or corner of a geometric shape.

To work out the area of a face of a 3D shape, you use square units such as cm 2 as the face of a 3D shape is a 2D shape in its own right (a pyramid’s face will form a triangle, or its base a square). You can learn how to work out area of a shape here .

To work out the volume of the whole 3D shape you used cubic units such as cm 3 . To learn how to work out the volume of 3D shapes click here .

Properties of 3D Shapes – Prisms

Number of Edges: 12

Number of Faces: 6

Number of Vertices: 8

Number of Edges: 2

Number of Faces: 3

Number of Vertices: 0

Triangular Prism

Number of Edges: 9

Number of Faces: 5

Number of Vertices: 6

Octagonal Prism

Number of Edges: 24

Number of Faces: 10

Number of Vertices: 16

Properties of 3D Shapes – Pyramids

Tetrahedron

Number of Edges: 6

Number of Faces: 4

Number of Vertices: 4

Square based Pyramid

Number of Edges: 8

Number of Vertices: 5

Hexagonal based Pyramid

Number of Faces: 7

Number of Vertices: 7

Properties of 3D Shapes – Curved Faces

Number of Edges: 1

Number of Faces: 2

Number of Vertices: 1

Number of Edges: 0

Number of Faces: 1

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3-dimensional shapes - AQA Volume and surface area

3-dimensional shapes have faces, edges and vertices and can be viewed from different points.

Volume and surface area

The volume of a 3D close 3D (three-dimensional) An object with width, height and depth, eg a cube. shape is the space inside it.

This cuboid contains 12 small cubes. Each small cube has a volume of 1 cm 3 .

The volume of the cuboid is 12 cm 3 .

The surface area of a 3D shape is the total area of all the faces.

A cube has six faces which are all squares.

The area of one face is:

$5 \times 5 = 25~\text{cm}^2$

There are six faces with the same area.

The surface area of the cube is $6 \times 25 = 150~\text{cm}^2$.

Naming 3D Shapes

The image below contains the names of common 3D Shapes including: Cube, Cylinder, Sphere, Triangular Prism, Cuboid, Cone, Square Based Pyramid and Tetrahedron. 2D Shapes are flat, for example polygons . 3D Shapes are not flat, they have faces and edges.

3D Shapes Key Words

The image below contains key words for 3D shapes, including vertices, edges, straight, curve, faces, corner, vertex, sides, depth, flat and prism. Vertex is singular and vertices is plural. All prism have vertices but not all 3D shapes have vertices. A "donut shape" does not contain vertices.

$3d shapes worksheet key words$

Not all 3d shapes are prisms such as the shapes below.

$3d shapes worksheet$

Properties of 3D Shapes

The image below shows the properties of 3D Shapes. Most 3D shapes have faces, vertices (corners) and edges.

A circle is a flat 2D shape . In the image below the circle shape is a spherical shape called a sphere. Spheres have one face and hemisphere have two faces. A triangular prism has 5 faces, 6 vertices and 9 edges.

$3d shapes worksheet$

3D Shapes Prism and Non Prisms

Prisms have a uniform cross-section. We learn how to find the volume of 3d prisms using a special formula. The formula for volume of prism is cross-sectional area multiplied by depth. In the diagram below the cross-sectional area is shaded blue. The cross-sectional area of a prism is always uniform which means the blue face shown is congruent across the z-axis.

$3d shapes 1$

A square-based pyramid, sphere, cone and tetrahedron are examples of 3d shapes that aren't prisms.

3d shapes can be drawn on isometric paper. We can also draw the side view and plans and elevations of 3d shapes on square paper. The plan is also called the "birds eye view".

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3D-SHAPES PRINTABLE WORKSHEETS

Home > Geometry > 3D Shapes

3D-SHAPES WORKSHEETS

We have learnt everything about flat shapes , which are also called as 2- D shapes.

https://www.mathfunworksheets.com/2d-shapes/

Here, we will concentrate on 3-D shapes or solids . They are solid objects that can be measured in three directions.

In these 3-D shapes worksheets, we will learn all the 3- dimensional shapes and their properties. Consider representing these shapes on three axis- x, y and z axis. Thus the measurable attributes on three axis are length, width and height (depth or thickness). A few three dimensional shapes are shown below.

All 3- D shapes have faces, edges and vertices.

The flat surfaces of the cube are called faces . A cube has 6 faces.

The line segment where two faces meet are edges . A cube has 12 edges.

Vertex is where three edges meet. A cube has 8 vertices.

We have a number of 3- D objects around us. Almost all the things we handle are solids. Your tea cup, mobile, laptop are all 3- D objects.

Now that your familiar with 3- D shapes, download worksheets for practice. All are free to use and are easily accessible.

LIST OF 3D GEOMETRIC SHAPES WORKSHEETS

Coloring 3D Shapes

Find 2D / 3D shapes

Identify 3d shapes, sort the shapes, name the shapes.

Faces, Vertices and Edges
Properties of 3D Shapes

Coloring 2D & 3D shapes

Match 3D Shapes

Cut Glue activity

Matching Related Shapes
Drawing 3D Shapes
Basic Shapes
Standard Shapes

Properties of 3D shapes

Worksheet #1
Worksheet #2
Worksheet #3
Worksheet #4

Coloring 3D shapes

Match 3D shapes

Matching Related shapes

Drawing shapes

Faces, Vertices & Edges

Related Geometry Worksheets

Compose and Decompose shapes
Lines Rays and Line Segments

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Classroom activities for teaching 3D shape at KS3-4.

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2D and 3D Shapes Worksheet and Explanation

We’ve structured this information to help children with their education. It is targeted at children in years 5 and 6 and the questions for the worksheet have been stripped from past papers. Having an understanding of 2D and 3D shapes is part of the primary school curriculum and children will deal with 2D and 3D shapes in both KS1 and KS2.

The Information below will give an overview of the topic and we have included a detailed worksheet with full answers. The worksheet includes 30 2D and 3D shapes questions and is relevant for KS2 pupils approaching their SATS test.

Download Free 2D and 3D Shapes Worksheet – Questions

Download free 2d and 3d shapes worksheet – answers.

If you are not ready to download the worksheets yet, then read on for some information about 2D and 3D shapes. This has provided to introduce the topics covered in the worksheet for those that might be unfamiliar but also as a quick revision tool for those that would like a quick refresher before accessing the worksheet.

2D and 3D Shapes Explained

What are 2d shapes.

2d Shapes are flat shapes and are the shapes children are first exposed to, these include:

Square, Triangle, Circle, Pentagon, Hexagon, Octagon, Rectangle

What are 3d Shapes?

3d shapes are three dimensional. So rather than a flat square the 3d shape would be a cube, rather than a circle the 3d shape would be a sphere, rather than a triangle a 3d shape equivalent might be a pyramid.

3d shapes include the following:

Cube, Sphere, Cylinder, Pentagonal Pyramid, Hexagonal Prism, Triangular Prism, Square based pyramid.

What should children be learning about 2d and 3d shapes in KS1

Children will become aware of both 2d and 3d shapes and will learn to recognise some of the more common ones. So for instance they may learn 2 shapes like rectangles, circles , triangles and squares. And they may learn 3d shapes such as cuboids, spheres and pyramids.

They will then go on to learn some of the properties of these shapes. They’ll begin to work on symmetry and reflection of shapes. They’ll become familiar with terms such as edges, faces and vertices, and they’ll work on rotating shapes through a right angle.

What will children learn about 2d and 3d shapes in KS2

KS2 work involves becoming much more familiar with the properties of 2d shapes and 3d shapes.

Children will start with doing some more work on rotations and then will learn about horizontal and vertical lines and whether these are perpendicular or parallel. This work helps them to understand the properties of shapes and how they are made. Children will draw lots of shapes to re-enforce their learning.

The work on lines of symmetry will continue in addition to some work understanding shapes in terms of their interior and exterior angles.

Once children have learnt the basic relationships between angles and shapes they will move on to estimating angle sizes of acute, obtuse and reflex angles and they’ll work on identifying angle sizes with only partial information being given.

Towards the end of KS2 this work will be brought together and revised so that children have an in-depth knowledge of 2d and 3d shapes so that they can describe them, draw them and discuss angles within shapes and lines of symmetry. They will be able to name a series of shapes and identify the key elements of those shapes.

Please feel free to download the 2D and 3D shapes worksheet and answers. No registration is necessary.

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3D Shapes Worksheet Vertices, Edges, Faces

Help your students prepare for their Maths GCSE with this free 3D shapes, vertices, edges, faces worksheet of 44 questions and answers

Section 1 of the 3D shapes, vertices, edges, faces worksheet contains 36 skills-based 3D shapes, vertices, edges, faces questions, in 3 groups to support differentiation
Section 2 contains 4 applied 3D shapes, vertices, edges, faces questions with a mix of worded problems and deeper problem solving questions
Section 3 contains 4 foundation and higher level GCSE exam style 3D shapes, vertices, edges, faces questions
Answers and a mark scheme for all 3D shapes, vertices, edges, faces questions are provided
Questions follow variation theory with plenty of opportunities for students to work independently at their own level
All questions created by fully qualified expert secondary maths teachers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
There are other free printable worksheets covering geometric shapes, including properties of 2D shapes worksheets.

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3D shapes, vertices, edges, faces at a glance

A three-dimensional shape (3D shape) has three dimensions, length, width and height. Students are expected to recognise solid shapes such as cubes, cuboids (or rectangular prisms) and triangular prisms. We live in a three-dimensional world, so students should be familiar with the real life examples of different 3D shapes around them.

3D shape properties include the number of faces, edges and vertices of 3d shapes. A face is a flat or curved surface. An edge is where two faces meet, and a vertex is a corner where edges meet. If the faces of a 3-dimensional shape are all polygons, it is called a polyhedron. If all faces are the same regular polygon, it is called a regular polyhedron. An example of a regular polyhedron is a tetrahedron which has four equilateral triangular faces.

Euler’s formula links the number of faces, vertices and edges. It states that for any polyhedron, the number of faces plus the number of vertices minus the number of edges will always be 2. This is not examined at GCSE but can be a good enrichment task when studying properties of 3D shapes and is a great introduction to a very famous mathematician.

A prism is a geometric shape that has a constant cross-section. If we cut a prism parallel to its end, we reveal an identical 2D shape. An example of a prism is a hexagonal prism; it consists of two hexagonal faces at either end, and six rectangular faces joining the hexagons. If we cut this prism through the rectangular faces, the 2D shape revealed inside would be a hexagon.

There are different 3D shapes activities students can do to learn properties of 3D shapes. For example, it can be useful for students to create a set of revision flashcards with the name, diagram and properties of each 3D shape. Creating a 3D paper model or a net or using real life examples can help make 3D shapes interactive and allow students to identify and count faces, edges and vertices on the shape.

Looking forward, students can then progress to additional 3D shapes worksheets and more geometry worksheets for example an angles in polygons worksheet or volume and surface area of spheres worksheet .

For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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