Maths Standard Year 11 - Module 2 - Lesson 9

Volume of Prisms and Cylinders

Use this worksheet after reading the lesson to practise the key ideas and prove you can meet the success criteria.

Name

Date

Class

1. Key Ideas

Volume = cross-sectional area × length. Identify the uniform cross-section first — everything else follows. Unit conversions between cm³, m³, and litres are critical for practical problems.

$V = Ah$ applies to any prism or cylinder
Why identifying the cross-section first simplifies every volume problem

2. Success Criteria

By the end, you should be able to:

$V = Ah$ applies to any prism or cylinder
The cross-section is the shape perpendicular to the length
Unit conversions: 1 m³ = 1000 L, 1 L = 1000 cm³

3. Key Terms

and litrescritical for practical problems

swimming pool25 m long, 10 m wide, and has a depth that slopes from 1

sectionthe shape you see when you "slice" perpendicular to the length

Composite volumesfound by addition or subtraction

Converting to consistent unitsa common source of errors in assessment tasks

The keycorrectly identifying the cross-section

4. Activity: Build the Lesson Map

Use the lesson to complete the table. Keep answers brief but specific.

Prompt	Your answer
Main concept
Important example
Common mistake to avoid
How this links to the next lesson

5. Short Answer Questions

1. Explain this lesson goal in your own words: "$V = Ah$ applies to any prism or cylinder". Use one specific example from the lesson.

Band 32 marks

2. Apply this idea to a new example: "The cross-section is the shape perpendicular to the length". Show your reasoning clearly.

Band 43 marks

3. Analyse why this idea matters for understanding Volume of Prisms and Cylinders: "Unit conversions: 1 m³ = 1000 L, 1 L = 1000 cm³".

Band 54 marks

6. Extend: Apply the Idea

Band 5/65 marks

A student gives a memorised answer about Volume of Prisms and Cylinders but does not use evidence or reasoning.

Improve the answer by writing a stronger response that uses accurate terminology, a relevant example and a clear explanation.

7. Multiple Choice

1. What is the best first step when answering a question about Volume of Prisms and Cylinders?

A. Identify the key concept being tested

B. Write every fact from memory

C. Ignore the command word

D. Skip examples and evidence

2. Which answer would show stronger understanding of Volume of Prisms and Cylinders?

A. An answer with accurate terms and reasoning

B. A copied definition only

C. A single-word response

D. An answer with no example

3. What should you do if a question asks you to explain?

A. Link the idea to a reason or cause

B. List unrelated facts

C. Only draw a diagram

D. Write the shortest possible answer

8. Success Criteria Proof

Finish with evidence that you can do each success criterion.

Success criterion 1

Prove that you can: $V = Ah$ applies to any prism or cylinder