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Pythagoras in 3D

Revise Pythagoras in 3D in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 2 flashcards. Use the notes, sample questions, and flashcards below to connect this topic to the rest of your GCSE revision plan.

Study this topic

1

From Flat to 3D

Introduction2

Key Facts

Key Facts3

Method: 3D Pythagoras

Deep Dive4

Worked Example: Cuboid Diagonal

Notes5

Knowledge Organiser: Pythagoras in 3D

Summary

Sample Flashcards

3D Pythagoras
d² = x² + y² + z² for space diagonal. Or use 2D Pythagoras twice: first on base, then with height.
3D Pythagoras
Use Pythagoras twice: once for base diagonal, once for 3D diagonal

Exam questions for Pythagoras in 3D

A cuboid has length l, width w, and height h. Which formula gives the length of the space diagonal d?

  • A. d = l + w + h
  • B. d² = l² + w²
  • C. d² = l² + w² + h²
  • D. d = √(l + w + h)
1 markfoundation

Describe the two-step method for finding the space diagonal of a cuboid with dimensions l, w, and h.

2 marksstandard

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12

exam-style questions

2

revision flashcards

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Trigonometry (SOH CAH TOA)