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Volume of a cuboid

Free Printable Volume of a cuboid PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 4)

Download free volume of a cuboid worksheets (PDF), GCSE maths past paper questions and worked solutions for Volume of a cuboid (4P). This is a Grade 4 geometry topic from the GCSE questions by topic collection for Foundation and Higher tier crossover GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Corbett Maths, Ms Hanks, Dr Austin, 1st Class Maths, Maths4EveryOne, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our volume of a cuboid revision notes and worked examples with diagrams, try real GCSE past paper volume of a cuboid questions with step-by-step solutions, or download a PDF of all volume of a cuboid worksheet links.

Free Volume of a cuboid PDF Worksheets & Answers

Grade 4 • Topic 4P
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Volume of a cuboid questions & answers
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GCSE Maths Grade 4 Revision Notes & Method

Guide to Volume of a cuboid: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

The volume of a cuboid is the amount of 3D space inside it, measured in cubic units (cm³ or m³): Volume = length × width × height (V = l × w × h). For a cube of side s, Volume = s³.

Make sure all three dimensions are in the same unit before multiplying. For liquid capacity questions, remember the vital conversion: 1 litre = 1000 ml = 1000 cm³.

Example 1: A cuboid fish tank measures 50 cm by 30 cm by 40 cm. Work out its capacity in litres.

50 cm 30 cm 40 cm
V = 50 × 30 × 40
= 60,000 cm³
÷ 1000 = 60 litres

Example 2: A cuboid has volume 180 cm³, length 9 cm, and width 4 cm. Find its height h.

180 cm³ 9 cm 4 cm h
9 × 4 × h = 180
36h = 180
h = 180 ÷ 36 = 5 cm
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Volume of a cuboid Questions & Answers

Past Paper Example 1 IGCSE Nov 2021 2F Q9 2 marks
The diagram shows a cuboid.
12 cm6 cm9 cmDiagram NOTaccurately drawn
Work out the volume of the cuboid.
Worked Solution & Mark Scheme (2 marks)
(The volume of a cuboid is length × width × height)
12 × 6 × 9 = 648 cm³ M1 A1
Answer: 648 cm³
Past Paper Example 2 GCSE Nov 2022 3F Q11 2 marks
Here is a cuboid.
10 cm4 cmheight
Work out the volume of the cuboid.
Worked Solution & Mark Scheme (2 marks)
(The volume of a cuboid is length × width × height)
8 × 4 × 5 = 160 cm³ M1 A1
Answer: 160 cm³
Past Paper Example 3 AQA Jun 2019 1F Q14 2 marks
Here is a cuboid.
7 cm5 cm10 cm
Work out the volume.
Worked Solution & Mark Scheme (2 marks)
(The volume of a cuboid is length × width × height)
Volume of cuboid = length × width × height M1
Volume = 7 × 5 × 10 = 350 cm3 A1
Answer: Answer 350 cm³

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