Volume summary

Key learning points

• Cuboid $lwh$; prism $A_{\text{cross}}\times\text{length}$; cylinder $\pi r^2 h$.
• Composite solids: add/subtract known volumes.
• Capacity in litres: $1000\,\mathrm{cm}^3=1\,\mathrm{l}$.

Worked example 1 — Cuboid

Cuboid $5\times3\times2$. Volume?

Working

Length × width × height.

Worked example 2 — Cylinder

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

Working

Base area × height.

Worked example 3 — Prism

Cross-section area $12$, length $7$. Volume?

Working

Area × length.

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.