The 1/3 Rule

Part of Volume of Pyramids & Cones · Section 1 of 5

IntroductionUnit: Geometry & MeasuresGCSE

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 5 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and 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!

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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