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
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?
A prism has 24 edges. How many sides does its end face have?
8
For three of today’s shapes, work out faces + vertices − edges. What do you notice?
It is always 2
How many faces (F), edges (E) and vertices (V) does this prism have?
F 8, E 18, V 12
A pyramid has a base with 8 sides. How many faces, edges and vertices does it have?
F 9, E 16, V 9
A prism has 30 edges. How many faces does it have?
12
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