AI generatedGeometry and measuresKS3 / GCSE

Faces, edges and vertices of solids

Faces, edges and vertices of solids.

  • Use the stated properties and diagram markings, rather than judging by appearance.
  • Matching ticks mean equal lengths; matching arrows mean parallel lines.
  • A small square marks a right angle. Keep labels horizontal and include units.

Example 1

Count the faces, edges and vertices of the solid.

Triangular prism3 sides around each base
5 faces, 9 edges and 6 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Example 2

Count the faces, edges and vertices of the solid.

Square prism4 sides around each base
6 faces, 12 edges and 8 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Your turn

Question 1

Count the faces, edges and vertices of the solid.

Pentagonal prism5 sides around each base
Check answer
7 faces, 15 edges and 10 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Question 2

Count the faces, edges and vertices of the solid.

Hexagonal prism6 sides around each base
Check answer
8 faces, 18 edges and 12 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Question 3

Count the faces, edges and vertices of the solid.

Triangular pyramid3 sides around each base
Check answer
4 faces, 6 edges and 4 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Question 4

Count the faces, edges and vertices of the solid.

Square-based pyramid4 sides around each base
Check answer
5 faces, 8 edges and 5 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.

Question 5

Count the faces, edges and vertices of the solid.

Pentagonal pyramid5 sides around each base
Check answer
6 faces, 10 edges and 6 vertices.

Count hidden edges and vertices too. As a check, for these polyhedra F + V = E + 2.