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Method: Finding Volume of Any Prism

Part of Volume of Cuboids & Prisms — GCSE Mathematics

This deep dive covers Method: Finding Volume of Any Prism within Volume of Cuboids & Prisms for GCSE Mathematics. Revise Volume of Cuboids & Prisms in Geometry & Measures for GCSE Mathematics with 20 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 3 of 8 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 8

Practice

20 questions

Recall

12 flashcards

Method: Finding Volume of Any Prism

  1. Identify the cross-section - the constant shape throughout
  2. Calculate the cross-sectional area using the appropriate formula
  3. Identify the length (perpendicular to the cross-section)
  4. Multiply: Volume = Area × Length
  5. Include units³ (cm³, m³, etc.)

Keep building this topic

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

The Key FormulasWorked Example 1: CuboidStacking SlicesWorked Example 2: Triangular Prism

Practice Questions for Volume of Cuboids & Prisms

Which formula correctly calculates the volume of a cuboid?

  • A. V = l + w + h
  • B. V = l × w × h
  • C. V = 2(l + w + h)
  • D. V = l × w + h
1 markfoundation

A cuboid measures 10 cm × 10 cm × 10 cm. A cylinder has a diameter of 10 cm and a height of 10 cm. Which shape has the greater volume? Explain your reasoning without calculating exact volumes.

3 markshigher

Quick Recall Flashcards

Volume of a cuboid
V = length × width × height V = l × w × h Units: cm³, m³, mm³
Volume of any prism
V = Cross-sectional Area × Length Works for ALL prisms: cuboid, triangular prism, cylinder, L-shaped prism, etc.

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The Key Formulas

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Worked Example 1: Cuboid