Home   >  Worksheets   >  GCSE questions by topic   >  Volume of a prism

MathsLinks Logo Questions by topic

Last update: 05/11/2026

Give feedback : Buy me a coffee

Volume of a prism

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

Download free volume of a prism worksheets (PDF), GCSE maths past paper questions and worked solutions for Volume of a prism (4Q). 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 Maths Genie, Corbett Maths, Maths Made Easy, Dr Frost, Naiker Maths, Dr Austin, 1st Class Maths, Maths4EveryOne, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

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

Free Volume of a prism PDF Worksheets & Answers

Grade 4 • Topic 4Q
Resource Questions Answers
GCSE past paper questions & solutions
 Qs Ans
Graded exam questions & solutions
 Qs Ans
Practice Questions & answers
 Qs Ans
Textbook Exercise & answers
 Qs Ans
MME worksheet & model answers
 Qs Ans
GCSE worksheet & solutions
 Qs Ans
Exam question booklet & solutions
 Qs Ans
Practice grid / worksheet & answers
 Qs Ans
Edexcel exam questions & solutions
 Qs Ans
AQA exam questions & solutions
 Qs Ans
KS2 SATs questions & solutions
 Qs Ans
Practice questions & answers
 Qs Ans
GCSE topic booklet & answers
 Qs Ans
PMT (Edxl)
Edexcel GCSE topic questions & solutions
 Qs Ans
PMT (AQA)
AQA GCSE topic questions & solutions
 Qs Ans
PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
 Qs Ans
Interactive online lesson & practice
 Page
Grade 4 topics
4A - Compound interest4B - Indices (index laws)
4C - Prime factors HCF and LCM4D - Real life graphs
4E - Inequalities on a number line4F - Solving inequalities
4G - Forming and solving equations4H - nth term of a linear sequence
4J - Expanding and factorising4K - Pythagoras theorem
4L - Angles in parallel lines4M - Angles in polygons
4N - Surface area4P - Volume of a cuboid
4Q - Volume of a prism4R - Bearings
4S - Cylinders4T - Plans and elevations
4U - Scatter graphs4V - Probability
4W - Averages from tables4X - Reverse mean
4Y - Area of a trapezium4Z - Loci and construction
GCSE Maths Grade 4 Revision Notes & Method

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

Download Printable One Page Guide (PDF)

Explanation:

A prism is a 3D shape that has the exact same 2D shape (the cross-section) running all the way through its length. For any prism: Volume of Prism = Area of Cross-Section × Length.

Always calculate the area of the front cross-section first (whether it is a triangle, a trapezium, or a compound L-shape), and then multiply that area by the depth/length of the prism.

Example 1: A triangular prism has base 8 cm, perpendicular height 6 cm, and length 12 cm. Find its volume.

8 cm 6 12 cm
Area = 12×8×6 = 24 cm²
V = 24 × 12
= 288 cm³

Example 2: A prism has a trapezium cross-section with parallel sides 5 m and 9 m, height 3 m, and length 10 m. Find its volume.

9 m 5 m 3 m 10 m
Area = 5+92×3 = 21 m²
V = 21 × 10
= 210 m³
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Volume of a prism Questions & Answers

Past Paper Example 1 AQA Nov 2023 2F Q26 / 2H Q7 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
Here is a prism drawn on an isometric grid.
6 cm
Work out the volume of the prism.
Worked Solution & Mark Scheme (3 marks)
(The volume of a prism is area of cross-section × length)
Area of L-shaped cross-section = (2 × 3) + (1 × 1) = 7 cm² M2
Volume = 7 × 6 = 42 cm³. A1
Answer: Answer 42 cm³
Past Paper Example 2 IGCSE Jan 2020 2HR Q13 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
The diagram shows a prism ABCDEFGH in which ABCD is a trapezium with BC parallel to AD and CDEF is a rectangle.
h cm7 cm12 cm10 cmABCDEFGHDiagram NOTaccurately drawn
BC = 7 cm   AD = 12 cm   DE = 10 cm
The height of trapezium ABCD is h cm
The volume of the prism is 608 cm3
Work out the value of h.
Worked Solution & Mark Scheme (3 marks)
(The volume of a prism is area of cross-section × length)
0.5 × (7 + 12) × h × 10 = 608 M1
⇒ 95h = 608 M1
⇒ h = 608 ÷ 95 = 6.4 A1
Answer: h = 6.4
Past Paper Example 3 GCSE Nov 2020 3H Q9 5 marks
Full Paper (PDF) • Mark Scheme (PDF)
The diagram shows a prism.
40°12 cm10 cm25 cm
The cross section of the prism has exactly one line of symmetry.
Work out the volume of the prism.
Give your answer correct to 3 significant figures.
Worked Solution & Mark Scheme (5 marks)
(The volume of a prism is area of cross-section × length)
Roof triangle height h = 5 × tan 40° = 4.1955 cm M2
Area of cross section = (10 × 12) + (0.5 × 10 × 4.1955) = 120 + 20.977 = 140.977 cm² M2
Volume = 140.977 × 25 = 3524.4 cm³ = 3520 cm³ (3 s.f.) A1
Answer: 3520 cm³

← 4P Volume of a cuboid

Back to GCSE questions by topic

4R Bearings →