Volume and Surface Area Maths Lessons & Worksheets (KS3, GCSE & IGCSE)

Curriculum Hub → Maths Lessons → Geometry → Volume and Surface Area

This page brings together ready-to-teach volume and surface area maths lessons for Key Stage 3 and GCSE / IGCSE. Browse the full collection, including prisms, cylinders, cones, pyramids and frustums, spheres and hemispheres, nets and composite solids, and investigations linking surface area to volume, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach volume and surface area lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3 and GCSE / IGCSE coverage
  • Scheme of work links for curriculum planning

Pull-up nets to introduce surface area

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Use the sections below to jump straight to Key Stage 3 or GCSE / IGCSE volume and surface area lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Volume and Surface Area  |  GCSE / IGCSE Volume and Surface Area

Volume and Surface Area: Key Stage 3

These Key Stage 3 volume and surface area lessons build understanding through nets, cross-sectional reasoning and standard formulae for common prisms and cylinders. Topics include:

  • Volume of cubes and cuboids using cross-sectional area and depth
  • Surface area of cubes and cuboids, including working from nets on squared grids
  • Surface area of prisms, including triangular and L-shaped prisms
  • Volume of prisms, including comparing volumes of different solid shapes
  • Volume of a cylinder, including answers as decimals and multiples of \(\pi\)
  • Total surface area of cylinders; revision of surface area for more complex solid shapes and composite cuboids

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Ages 11 - 13

Surface Area of Cubes and Cuboids

Ages 11 - 13

Surface Area of Prisms

Ages 11 - 13

Total Surface Area of Cylinders

Ages 11 - 13

Volume of a Cylinder

Ages 11 - 13

Volume of Cubes and Cuboids

Ages 11 - 13

Volume of Prisms

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Volume and Surface Area: GCSE / IGCSE

These GCSE / IGCSE volume and surface area lessons extend to pyramids, cones, spheres and more demanding prism work, including answers in decimals and multiples of \(\pi\) where appropriate. Topics include:

  • Volume of cuboids and prisms using cross-sectional area and depth for more complex shapes
  • Volume of pyramids, including square-based pyramids and frustums
  • Volume of cones, including multi-step problems, with answers as decimals and multiples of \(\pi\)
  • Total surface area of prisms for more complex prism shapes; total surface area and volume of cylinders
  • Volume and surface area of spheres and hemispheres; surface area of cones; surface area of square-based pyramids
  • Investigations linking total surface area with a fixed volume for cuboids

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Ages 14 - 16

Cylinder Total Surface Area And Volume

Ages 14 - 16

Surface Area of a Cone

Ages 14 - 16

Surface Area of Square Based Pyramids

Ages 14 - 16

Total Surface Area and Volume Investigation

Ages 14 - 16

Total Surface Area of Prisms

Ages 14 - 16

Volume and Surface Area of Spheres

Ages 14 - 16

Volume of a Cone

Ages 14 - 16

Volume of Cuboids and Prisms

Ages 14 - 16

Volume of Pyramids

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