PrepWisePrepWiseVolume of Pyramids & Cones
Geometry & MeasuresDeep Dive

Method

Part of Volume of Pyramids & Cones — GCSE Mathematics

This deep dive covers Method 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 3 of 4 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

10 questions

Recall

3 flashcards

Method

1 Find the base area (for pyramid: use appropriate shape formula; for cone: πr²)
2 Multiply base area by perpendicular height
3 Divide by 3 (or multiply by 1/3)
4 Give units as cm³ or m³

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.

Key FormulasWorked Example: Cone VolumeThe 1/3 Rule

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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Worked Example: Cone Volume