Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM6-6
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-10
Resources
- CorbettMaths on 3d Pythagoras’ TheoryQuestions PDF · Answers
Terminology
- face diagonal
- space diagonal
- cuboid
- Pythagoras' theorem
- right-angled triangle
- hidden triangle
Task goals
- Find the diagonal across a face of a cuboid using Pythagoras' theorem.
- Find the space diagonal of a cuboid using a two-step method: first find a face diagonal, then apply Pythagoras again.
- Identify which face diagonal to use and recognize when multiple applications of the theorem are needed in 3D problems.
- Apply Pythagoras' theorem to 3D contexts such as rods fitting inside boxes, cables across rooms, and supports on 3D structures.
- Justify whether a given length can or cannot fit inside a 3D shape by calculating its space diagonal.
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: Pythagoras
Mixed revision of Pythagoras' theory
Distance between two points (Pythagoras)
You are here
Applying Pythagoras’ Theory to 3D representations
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under GM6-6:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.