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WorksheetYear 10Level 3 · Challenge

Free Year 10 Volume of Prisms and Cylinders Worksheet — Level 3

Volume of cubes and rectangular prisms by counting and by formula, then triangular prisms and cylinders. A challenge set for students ready to stretch further. This Year 10 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 10
Subject
Maths
Topic
Volume & Capacity
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • finding the volume of rectangular prisms
  • working backwards from volume
  • finding the volume of cylinders

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 10 Volume of Prisms and Cylinders Worksheet — Level 3

Ready for more? Move on to Year 11 Maths.

← Easier: Level 2 · Standard

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 10 students (typically ages 14–15) working on volume & capacity. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Explore more Year 10 mathematics resources.

Preview

Success TutoringWorksheetsYear 10 · Mathematics · Volume & Capacity

Year 10 Volume of Prisms and Cylinders Worksheet — Level 3

Name

Date

Score /

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A triangular prism has a triangular end with base 22 cm and height 5 cm. The prism is 5 cm long. Find its volume.
2.A rectangular prism has a volume of 75 cm3. Its base is 5 cm by 5 cm. Find its height.
3.A rectangular prism has a volume of 216 cm3. Its base is 3 cm by 9 cm. Find its height.
4.A cylinder has a radius of 2 cm and a height of 6 cm. Find its volume, correct to 1 decimal place.
5.A rectangular prism has a volume of 315 cm3. Its base is 5 cm by 7 cm. Find its height.
6.A cylinder has a radius of 9 cm and a height of 15 cm. Find its volume, correct to 1 decimal place.
7.A cylinder has a radius of 4 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.
8.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 13 cm long. Find its volume.
9.A rectangular prism has a volume of 240 cm3. Its base is 8 cm by 5 cm. Find its height.
10.A rectangular prism has a volume of 252 cm3. Its base is 6 cm by 6 cm. Find its height.
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 10 volume & capacity resources

  • Worksheet

    Year 10 Volume of Prisms and Cylinders Worksheet — Level 1

    Volume of cubes and rectangular prisms by counting and by formula, then triangular prisms and cylinders. Builds confidence with the core…

    Difficulty
    Level 1 · Easier
    Time
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    Questions
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    Answers
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  • Worksheet

    Year 10 Volume of Prisms and Cylinders Worksheet — Level 2

    Volume of cubes and rectangular prisms by counting and by formula, then triangular prisms and cylinders. Expected-level practice for this…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.