Volume of Composite Prisms

Year 7 Measurement and geometry WA7MMGTH2 5 pages · 34 questions Core

Year 7 Volume of Composite Prisms Worksheet

Free Year 7 worksheet (WA7MMGTH2): volume of L, T and stepped prisms by splitting or cross-section × length. With marking key.

What's covered
  • Splitting composite prisms into rectangular prisms
  • Using V = cross-section area × length
  • Solving pool, step and container problems

Updated Sep 2026 · No sign-up needed

About this worksheet

This free Year 7 volume of composite prisms worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MMGTH2. It targets one skill so students can practise until it sticks: by the end, students can say “I can find the volume of composite prisms by splitting them into rectangular prisms or using cross-section area × length.”

What’s inside

  • Key idea box – a short explanation with worked examples to read before starting.
  • A · Fluency (16 questions) – quick practice to build accuracy.
  • B · Core (10 questions) – worded problems set in everyday Australian contexts.
  • C · Reasoning (4 questions) – explain, justify and spot the error.
  • D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
  • Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

  • Splitting composite prisms into rectangular prisms
  • Using V = cross-section area × length
  • Solving pool, step and container problems

How to use this worksheet

Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

  • Counting an overlapping section twice
  • Using a cross-section that changes along the prism
  • Mixing units in one calculation
  • Forgetting to subtract a hole

Where this fits in the WA Year 7 sequence

Volume of Composite Prisms sits in the Three-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

  • Counting an overlapping section twice
  • Using a cross-section that changes along the prism
  • Mixing units in one calculation
  • Forgetting to subtract a hole
Answer key (with worked solutions)

The answer key is a separate PDF with every question worked, not just the final answers.

Download the answer key (PDF)

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