Properties and Nets of 3D Solids

Name common 3D solids (prisms, pyramids, cylinders, cones, spheres) and identify/count their faces, edges, and vertices.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM4-5
  • GM5-6
New NZC (2026)
  • NZC26-P4-GEO-SPR-P-Y9-01

Resources

Terminology

  • 3D solid
  • Net
  • Face
  • Edge
  • Vertex
  • Prism
  • Pyramid
  • Cylinder
  • Cone
  • Sphere
  • Cross-section
  • Euler's formula

Task goals

  • Foundation: Name common 3D solids (prisms, pyramids, cylinders, cones, spheres) and identify/count their faces, edges, and vertices.
  • Proficient: Match 3D solids to their correct nets and sketch nets for prisms and pyramids.
  • Excellence: Apply Euler's formula and cross-sectional reasoning to analyse and compare composite or unfamiliar 3D solids.

Where this fits

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Properties and Nets of 3D Solids

Properties and Nets of 3D Solids

Do

Representing and constructing 3D shapes, including rectangular and triangular prisms and pyramids, from nets and plan views drawings

Statement▸
Year 9 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-P-Y9-01

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