Support · Mathematics Standard 11–12 – Year 11 · Applications of measurement

Support Solve practical problems involving the surface area of prisms, cylinders, spheres and composite solids in a variety of contexts

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Solve problems involving surface areas of cylinders and related composite solids

Stage 5 · Area and surface area A Draft mapping

Solve problems involving the surface area of solids in a variety of contexts including composite solids

Stage 5 · Area and surface area B (Path) Draft mapping

Apply the formula to find the surface area of spheres: A = (4πr)², where r is the length of the radius

Stage 5 · Area and surface area B (Path) Draft mapping

  • Interactive toolStarter
    Mathigon: Spheres, cones and cylinders
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Develop volume and surface area formulas for curved solids.
  • Interactive toolStarter
    Maths Is Fun: Sphere
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Sphere volume and surface area.
  • Corbettmaths practice questions: Surface area: sphere
    Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Free printable graded practice questions (with answers) on surface area: sphere for drill or a quick check.
  • WorksheetDrill
    Kuta free worksheet: Spheres (surface area and volume)
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on spheres (surface area and volume); good for drill or homework.
  • VideoStarter
    Corbettmaths video: Surface area: sphere
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on surface area: sphere to model the method before practice or for flipped revision.