Properties of 3D Shapes

Maths: KS3, topic 4.2.5

Properties of 3D Shapes

Identify and describe 3D shapes by counting their faces, edges, and vertices.

Parts of a 3D shape

Parts of a 3D shape

  • A face is a flat surface

  • An edge is a line where two faces meet

  • A vertex is a corner where edges meet

  • We can describe many 3D shapes by counting their faces, edges, and vertices

Cuboid

Cuboid

  • A cuboid has 6 rectangular faces.

  • Faces: 6

  • Edges: 12

  • Vertices: 8

Square-based pyramid

Square-based pyramid

  • A square-based pyramid has 11 square face and 44 triangular faces

  • The triangular faces meet at the apex

  • Faces: 55

  • Edges: 88

  • Vertices: 55

Triangular prism

Triangular prism

  • A triangular prism has 22 triangular faces and 33 rectangular faces

  • Faces: 55

  • Edges: 99

  • Vertices: 66

Flat vs curved surfaces

Flat vs curved surfaces

  • Some 3D3\text{D} shapes have curved surfaces

  • A sphere has 11 curved surface, 00 edges and 00 vertices

  • A cylinder has 22 flat circular faces and 11 curved surface

  • A cylinder has 22 circular edges and 00 vertices

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