Faces, edges and vertices

The Maths Habit

How many faces does
a football have?

32

Face
A flat surface of a 3D shape.
Edge
A line where two faces meet.
Vertex
A corner, where edges meet. The plural is vertices.

Faces 6   Edges 12   Vertices 8

How many faces?

6

How many vertices?

6

A pentagonal prism

Faces 7
Edges 15
Vertices 10

A hexagonal prism

Faces 8
Edges 18
Vertices 12

A pentagonal prism

Faces 7
Edges 15
Vertices 10

An octagonal prism

Faces 10
Edges 24
Vertices 16

A pentagonal prism

Faces 7
Edges 15
Vertices 10

A triangular prism

Faces 5
Edges 9
Vertices 6

A pentagonal prism

Faces 7
Edges 15
Vertices 10

A heptagonal prism

Faces 9
Edges 21
Vertices 14

A pentagonal prism

Faces 7
Edges 15
Vertices 10

A decagonal prism

Faces 12
Edges 30
Vertices 20

How many faces, edges and vertices does a square based pyramid have?

How many faces, edges and vertices does a pentagonal based pyramid have?

Faces, edges and vertices worksheet, page 1

Faces, edges and vertices worksheet, page 2

Answer sheet

  1. A prism has 24 edges. How many sides does its end face have?

    8
  2. For three of today’s shapes, work out faces + vertices − edges. What do you notice?

    It is always 2

  1. How many faces (F), edges (E) and vertices (V) does this prism have?

    F 8, E 18, V 12
  2. A pyramid has a base with 8 sides. How many faces, edges and vertices does it have?

    F 9, E 16, V 9
  3. A prism has 30 edges. How many faces does it have?

    12
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