Geometry & MeasuresIntroduction

The 1/3 Rule

Part of Volume of Pyramids & ConesGCSE Mathematics

This introduction covers The 1/3 Rule within Volume of Pyramids & Cones for GCSE Mathematics. Revise Volume of Pyramids & Cones in Geometry & Measures for GCSE Mathematics with 10 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 1 of 4 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 4

Practice

10 questions

Recall

3 flashcards

The 1/3 Rule

Pyramids and cones both come to a POINT. This is what makes them special - they hold exactly ONE-THIRD of the volume of the matching prism or cylinder with the same base and height. The ancient Egyptians knew this!

Keep building this topic

Read this section alongside the surrounding pages in Volume of Pyramids & Cones. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Volume of Pyramids & Cones

What is the formula for the volume of a cone with base radius r and height h?

  • A. πr²h
  • B. (1/3)πr²h
  • C. (1/2)πr²h
  • D. (2/3)πr³
1 markfoundation

Explain why the volume of a cone is one third of the volume of a cylinder with the same base and height.

2 markshigher

Quick Recall Flashcards

The 1/3 Rule
Pyramids and cones are both 1/3 of their matching prism/cylinder. V = (1/3) × base area × height
Volume of Cone
⅓ × πr² × h

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