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Properties of 3D shapes

What are 3D shapes?

3D shapes are shapes with three dimensions, such as width, height and depth.


3D shape vocabulary

The side of a 3D shape is called the face. 3D shape faces are flat.

The edges of a 3D shape are where the faces meet.

The corners of a 3D shape are called vertices. Vertex is the singular of vertices.

A regular 3D shape’s faces are all equal. A cube is an example of a regular 3D shape. It has six square faces that are all the same size.

An irregular 3D shape has faces of differing shapes and sizes. A cylinder is an example of an irregular 3D shape. It has three faces, two are circles and one is a rectangle.


What is a polyhedron?

A polyhedron is a 3D shape made up of a collection of flat polygons. Polyhedrons can have any number of faces. Triangular prisms and cubes are examples of polyhedrons.


3D shape names and facts

Here is a selection of some of the common 3D shapes and their properties:

 

Properties of a sphere

  • A sphere is a three-dimensional shape.
  • A sphere has 1 curved face.
  • A sphere has no vertices.
  • A sphere has no edges.
  • A sphere is symmetrical.
  • A sphere is not a polyhedron.
Properties of a sphere

Properties of a hemisphere

  • A hemisphere is a three-dimensional shape.
  • A hemisphere has 2 faces. 1 curved face and 1 flat circular face.
  • A hemisphere has no vertices.
  • A hemisphere has 1 edge.
  • A hemisphere is half of a sphere.
  • A hemisphere is not a polyhedron.
Properties of a hemisphere

Properties of a cube

  • A cube is a three-dimensional shape.
  • A cube has 6 flat faces.
  • A cube's faces are all squares. They are all the same size and shape.
  • A cube has 8 vertices.
  • A cube has 12 edges.
  • A cube is a polyhedron.
Properties of a cube

Properties of a cuboid

  • A cuboid is a three-dimensional shape.
  • A cuboid has 6 flat faces.
  • A cuboid's faces are all rectangles.
  • A cuboid has 8 vertices.
  • A cuboid has 12 edges.
  • A cuboid doesn’t have to have regular faces like a cube.
  • A cuboid is a polyhedron.
Properties of a cuboid

Properties of a cone

  • A cone is a three-dimensional shape.
  • A cone has 2 faces. One is a flat circular face. The other is a curved face.
  • A cone has 1 apex. (The pointed tip of a cone is called the apex.)
  • A cone has 1 edge.
  • The flat circular face of a cone is the base.
  • A cone is not a polyhedron.
Properties of a cone

Properties of a cylinder

  • A cylinder is a three-dimensional shape.
  • A cylinder has 3 faces. Two of the faces are flat circular faces, one is a curved rectangular face.
  • A cylinder has 0 vertices.
  • A cylinder has 2 edges.
  • A cylinder is not a polyhedron.
Properties of a cylinder

Properties of a triangular prism

  • A triangular prism is a three-dimensional shape.
  • A triangular prism has 5 faces. Two of the faces are flat triangular faces, three are flat rectangular faces.
  • A triangular prism has 6 vertices.
  • A triangular prism has 9 edges.
  • A triangular prism is a polyhedron.
Properties of a triangular prism

Properties of a pentagonal prism

  • A pentagonal prism is a three-dimensional shape.
  • A pentagonal prism has 7 faces. Two of the faces are flat pentagonal faces, five are flat rectangular faces.
  • A pentagonal prism has 10 vertices.
  • A pentagonal prism has 15 edges.
  • A pentagonal prism is a polyhedron.
Properties of a pentagonal prism

Properties of a hexagonal prism

  • A hexagonal prism is a three-dimensional shape.
  • A hexagonal prism has 8 faces. Two of the faces are flat hexagonal faces, six are flat rectangular faces.
  • A hexagonal prism has 12 vertices.
  • A hexagonal prism has 18 edges.
  • A hexagonal prism is a polyhedron.
Properties of a hexagonal prism

Properties of a triangular based pyramid

  • A triangular based pyramid is a three-dimensional shape.
  • A triangular based pyramid has 4 faces. All of the faces are flat triangular faces.
  • A triangular based pyramid has 4 vertices.
  • A triangular based pyramid has 6 edges.
  • A triangular based pyramid is a polyhedron.
Properties of a triangular based pyramid

Properties of a square based pyramid

  • A square based pyramid is a three-dimensional shape.
  • A square based pyramid has 5 faces. Four of the faces are flat triangular faces, one of the faces is a square.
  • A square based pyramid has 5 vertices.
  • A square based pyramid has 8 edges.
  • A square based pyramid is a polyhedron.
Properties of a square based pyramid

Properties of a rectangular based pyramid

  • A rectangular based pyramid is a three-dimensional shape.
  • A rectangular based pyramid has 5 faces. Four of the faces are flat triangular faces, one of the faces is a rectangle.
  • A rectangular based pyramid has 5 vertices.
  • A rectangular based pyramid has 8 edges.
  • A rectangular based pyramid is a polyhedron.
Properties of a rectangular based pyramid

When are 3D shapes taught in the Maths National Curriculum?

3D shapes are taught as part of the geometry strands of the maths curriculum. This strand is geometry - properties of shapes.

 

3D shapes are first taught in year 1 when children:

- recognise and name common 2-D and 3-D shapes, including: 3-D shapes [for example, cuboids (including cubes), pyramids and spheres].

 

In Year 2 children:

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

- identify 2-D shapes on the surface of 3-D shapes [for example, a circle on a cylinder and a triangle on a pyramid]

- compare and sort common 2-D and 3-D shapes and everyday objects.

 

In Year 3 children:

- draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

 

In Year 5 children:

- identify 3-D shapes, including cubes and other cuboids, from 2-D representations

 

In Year 6 children:

- recognise, describe and build simple 3-D shapes, including making nets

LESSON PACK: Let's Identify 3D Shapes | Year 1


LESSON PACK: Let's Explore 3D Shape | Year 2


LESSON PACK: Space and 3D Shape | Year 3


LESSON PACK: Polyhedrons | Year 5


LESSON PACK: Make Polyhedrons | Year 6


FREE: 3D Shapes Posters


FREE: 3D Shape Nets Printables