Geometry & MeasuresKey Facts

The Key Formulas

Part of Volume of Cuboids & PrismsGCSE Mathematics

This key facts covers The Key Formulas 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 2 of 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 8

Practice

20 questions

Recall

12 flashcards

The Key Formulas

Shape Formula Cross-Section
Any Prism V = Area × Length Varies (triangle, L-shape, etc.)
Cuboid V = l × w × h Rectangle (w × h)
Triangular Prism V = ½bh × l Triangle (½ × base × height)
Cylinder V = πr²h Circle (πr²)

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.

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

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