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Everyday maths 1 (Wales)

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# 1.4 Common 3D shapes

You will be familiar with some common 3D shapes.

Figure 8 3D shapes

Hint: Make sure you understand the difference between a cube (3D square) and a cuboid (3D rectangle).

Some other 3D shapes that you may come across are shown in Figure 9.

Figure 9 3D shapes

Now try the following activity.

## Activity 4: Properties of 3D shapes

1. The sides of 3D shapes are known as faces. Complete the following table:
ShapeNumber of faces
Cube
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Square-based pyramid
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Sphere
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Cylinder
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Cuboid
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Cone
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Triangular-based pyramid
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Triangular prism
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ShapeNumber of faces
Cube6
Square-based pyramid5
Sphere1
Cylinder3
Cuboid6
Cone2
Triangular-based pyramid4
Triangular prism5

As well as faces, 3D shapes also have edges and vertices (corners):

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1. Complete the following table:
ShapeNumber of edgesNumber of vertices
Cube
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Square-based pyramid
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Sphere
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Cylinder
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Cuboid
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Cone
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Triangular-based pyramid
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Triangular prism
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ShapeNumber of edgesNumber of vertices
Cube128
Square-based pyramid85
Sphere00
Cylinder20
Cuboid128
Cone11
Triangular-based pyramid64
Triangular prism96

## Footnotes

A sphere has just one curved face, so it has no edges or vertices.