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Topic summary · Student revision

Shape 6 summary

Shape 6 revision covers volume and surface area of prisms and cylinders.

Files: Shape 6.pdf · Shape 6 solutions.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Prism volume = cross-sectional area × length.
  • Cylinder volume πr2h\pi r^2 h.
  • Convert units before calculating.
  • Composite solids: add or subtract known volumes.

Worked example 1 — Cuboid

Edges 2, 3, 4. Volume?

Working

2424

Product of the three edges.

Worked example 2 — Prism volume = cross-sectional area × length

Use this method from the Shape 6 sheet: Prism volume = cross-sectional area × length.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Cylinder volume

Use this method from the Shape 6 sheet: Cylinder volume πr2h\pi r^2 h.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Convert units before calculating

Use this method from the Shape 6 sheet: Convert units before calculating.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Composite solids: add or subtract known volumes

Use this method from the Shape 6 sheet: Composite solids: add or subtract known volumes.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Shape 6 summary — worksheet & answers PDF