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New · Foundation CIE Core slides + packs · Angles, Area, Averages, Algebra, Equations, Graphs, Polygons, Ratio, Similar Shapes, Simultaneous Eqns, Speed & Travel, Data graphsNew · LS Topic videos (IMProject) · Similar Shapes, Speed & Travel, Ratio, Polygons, Averages, Area, Straight-line Graphs, Angles, Graphs of Data, Simultaneous Eqns, Solving Equations, Basic Algebra, PythagorasFoundation packs · YouTube lesson slots linked on matching CIE Core slides (3 Nov 2026)Worked exam catalogue · 384 videosCIE 291 · IB 44 · Pearson 49New walkthrough · CIE 0606/21 O/N Q12 — Velocity vectors; time of collisionVideo catalogue updated · 3 Nov 2026New · Foundation CIE Core slides + packs · Angles, Area, Averages, Algebra, Equations, Graphs, Polygons, Ratio, Similar Shapes, Simultaneous Eqns, Speed & Travel, Data graphsNew · LS Topic videos (IMProject) · Similar Shapes, Speed & Travel, Ratio, Polygons, Averages, Area, Straight-line Graphs, Angles, Graphs of Data, Simultaneous Eqns, Solving Equations, Basic Algebra, PythagorasFoundation packs · YouTube lesson slots linked on matching CIE Core slides (3 Nov 2026)Worked exam catalogue · 384 videosCIE 291 · IB 44 · Pearson 49New walkthrough · CIE 0606/21 O/N Q12 — Velocity vectors; time of collisionVideo catalogue updated · 3 Nov 2026

Topic summary · IGCSE handout

Area and Volume summary

Mixed area and volume problems combine 2D nets with 3D measures — keep formulas listed and units cubed or squared as required.

Open Learning Sheet — Area and VolumeDownload Area and Volume answers PDF

Files: 38_area_and_volume_handout.pdf · 38_area_and_volume_handout_answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Surface area: sum the faces (nets help).
  • Volume of prism = cross-sectional area × length.
  • Watch unit conversions before comparing answers.

Worked example 1 — Cuboid surface area

Cuboid 4×3×24\times3\times2. Surface area?

Working

2(12+8+6)=522(12+8+6)=52

Sum of all face areas.

Worked example 2 — Cylinder volume

Radius 33, height 1010. Volume in terms of π\pi?

Working

90π90\pi

V=πr2hV=\pi r^2 h.

Worked example 3 — Sphere volume

Radius 33. Volume in terms of π\pi?

Working

V=43πr3=36πV=\tfrac{4}{3}\pi r^3=36\pi

Cube the radius carefully.

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.

Open Learning SheetAnswers PDF
WorksheetsTopic summariesTopic videos
Area and Volume summary — worksheet & answers PDF