Learning pack · IGCSE handout

Area and Volume

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Mixed area and volume problems combine 2D nets with 3D measures — keep formulas listed and units cubed or squared as required.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (1)📖 Full summary

Files: 38_area_and_volume_handout.pdf · 38_area_and_volume_handout_answers.pdf

Full topic summary

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

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 $4\times3\times2$ . Surface area?

Working

2(12+8+6)=52

Sum of all face areas.

Worked example 2 — Cylinder volume

Radius $3$ , height $10$ . Volume in terms of $\pi$ ?

Working

90\pi

$V=\pi r^2 h$ .

Worked example 3 — Sphere volume

Radius $3$ . Volume in terms of $\pi$ ?

Working

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

Cube the radius carefully.

Worked example 4 — Prism volume

Triangular cross-section area $12$ , length $7$ . Volume?

Working

V=84

Prism volume = cross-section area × length.

🎬 Topic videos

Similar Shapes: Length, Area and Volume
Maths Genie · 16 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Area and Volume summary.