Faces, edges and vertices

The Maths Habit

Which one is the odd one out? Why?

A
B
C
D

C comes to a point. D has triangles. A has all its faces the same. More than one answer is right.

How many sides does each pink shape have?

A
4 sides
B
3 sides
C
6 sides
D
5 sides

Face
A flat surface of a 3D shape.
Edge
A line where two faces meet.
Vertex
A corner, where edges meet. Two or more are called vertices.

A prism has the same face at both ends. The pink end gives its name.

cubeall squares
cuboida rectangle
triangular prisma triangle
pentagonal prisma pentagon
hexagonal prisma hexagon

  1. 1Faces: 2 ends + the sidesThe pink end has 4 sides, so 4 faces go round the side.
  2. 2Edges: top + bottom + going up4 round the top, 4 round the bottom, 4 going up.
  3. 3Vertices: top + bottom4 on the top, 4 on the bottom.

A triangular prism.

1Faces2+3=5
2Edges3+3+3=9
3Vertices3+3=6

A cuboid.

1Faces2+4=6
2Edges4+4+4=12
3Vertices4+4=8

A triangular prism.

1Faces2+3=5
2Edges3+3+3=9
3Vertices3+3=6

A cube.

A prism1Faces 2 ends + the sides2Edges top + bottom + going up3Vertices top + bottom
1Faces2+4=6
2Edges4+4+4=12
3Vertices4+4=8

A triangular prism.

1Faces2+3=5
2Edges3+3+3=9
3Vertices3+3=6

A pentagonal prism.

A prism1Faces 2 ends + the sides2Edges top + bottom + going up3Vertices top + bottom
1Faces2+5=7
2Edges5+5+5=15
3Vertices5+5=10

A triangular prism.

1Faces2+3=5
2Edges3+3+3=9
3Vertices3+3=6

A hexagonal prism.

A prism1Faces 2 ends + the sides2Edges top + bottom + going up3Vertices top + bottom
1Faces2+6=8
2Edges6+6+6=18
3Vertices6+6=12

Fill in the boxes for each shape.

1
A cuboid.
1Faces2+4=6
2Edges4+4+4=12
3Vertices4+4=8
2
A triangular prism.
1Faces2+3=5
2Edges3+3+3=9
3Vertices3+3=6
3
A pentagonal prism.
1Faces2+5=7
2Edges5+5+5=15
3Vertices5+5=10
A prism1Faces 2 ends + the sides2Edges top + bottom + going up3Vertices top + bottom

Prism or pyramid?

A
pyramid
B
prism
C
pyramid
D
prism

A pyramid has a base and comes to a point. The pink base gives its name.

triangular based pyramida triangle
square based pyramida square
pentagonal based pyramida pentagon
hexagonal based pyramida hexagon

  1. 1Faces: 1 base + the sidesThe pink base has 4 sides, so 4 faces go round the side.
  2. 2Edges: base + going up4 round the base, 4 going up to the point.
  3. 3Vertices: base + the point4 on the base, 1 at the point.

A square based pyramid.

1Faces1+4=5
2Edges4+4=8
3Vertices4+1=5

A triangular based pyramid.

1Faces1+3=4
2Edges3+3=6
3Vertices3+1=4

A square based pyramid.

1Faces1+4=5
2Edges4+4=8
3Vertices4+1=5

A pentagonal based pyramid.

A pyramid1Faces 1 base + the sides2Edges base + going up3Vertices base + the point
1Faces1+5=6
2Edges5+5=10
3Vertices5+1=6

A square based pyramid.

1Faces1+4=5
2Edges4+4=8
3Vertices4+1=5

A hexagonal based pyramid.

A pyramid1Faces 1 base + the sides2Edges base + going up3Vertices base + the point
1Faces1+6=7
2Edges6+6=12
3Vertices6+1=7

A square based pyramid.

1Faces1+4=5
2Edges4+4=8
3Vertices4+1=5

A square based pyramid.

A pyramid1Faces 1 base + the sides2Edges base + going up3Vertices base + the point
1Faces1+4=5
2Edges4+4=8
3Vertices4+1=5

Fill in the boxes for each shape.

1
A triangular based pyramid.
1Faces1+3=4
2Edges3+3=6
3Vertices3+1=4
2
A pentagonal based pyramid.
1Faces1+5=6
2Edges5+5=10
3Vertices5+1=6
3
A hexagonal based pyramid.
1Faces1+6=7
2Edges6+6=12
3Vertices6+1=7
A pyramid1Faces 1 base + the sides2Edges base + going up3Vertices base + the point

True or false? Thumbs up or thumbs down.

AA cube has 8 vertices.True
BA triangular prism has 6 edges.False: 9 edges
CA square based pyramid has 5 faces.True
DA cuboid has 4 faces.False: 6 faces

Faces, edges and vertices worksheet, page 1

Faces, edges and vertices worksheet, page 2

Answer sheet

  1. A prism has an end with 8 sides. How many edges does it have?

    24

  2. For a cube, work out faces + vertices − edges. Try it for a pyramid. What do you notice?

    2 both times

  3. Can a pyramid have 10 edges? Explain.

    Yes, a pentagonal based pyramid: 5 + 5

  1. Fill in the boxes for this pentagonal prism.1 Faces2+5=72 Edges5+5+5=153 Vertices5+5=10

    7, 15, 10

  2. Fill in the boxes for this square based pyramid.1 Faces1+4=52 Edges4+4=83 Vertices4+1=5

    5, 8, 5

  3. How many faces, edges and vertices does this triangular prism have?

    5 faces, 9 edges, 6 vertices
Exit tickets to print