Learning pack · Foundation · CIE Core

3D Shapes

What's in this pack: printable worksheet PDF, matching answers PDF (Foundation · CIE Core depth). 3D shape work names solids, counts faces/edges/vertices, and uses nets. Euler’s relation $V-E+F=2$ is a useful check for convex polyhedra.

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: foundation-24 3D Shapes handout.pdf · foundation-24 3D Shapes answers.pdf

Full topic summary

3D shape work names solids, counts faces/edges/vertices, and uses nets. Euler’s relation $V-E+F=2$ is a useful check for convex polyhedra.

Key learning points

Prisms have a constant cross-section; pyramids taper to an apex.
Nets must fold without overlapping faces.
Plans and elevations are orthographic 2D views.

Worked example 1 — Euler check

Cube $V=8$ , $E=12$ , $F=6$ . Euler?

Working

V-E+F=2

Convex polyhedra.

Worked example 2 — Faces

Triangular prism: number of faces?

Working

5

2 triangles + 3 rectangles.

Worked example 3 — Net

Can six squares form a cube net?

Working

\text{yes, if arranged validly}

No more than four in a row.

Worked example 4 — Cuboid edges

Cuboid $5\times3\times2$ . How many edges?

Working

12

A cuboid always has 12 edges.

🎬 Topic videos

GCSE Maths - The Eight 3D Shapes You Need to Know - Vertices, Edges and Faces (2026/27 exams)
Cognito · 3 min
Useful across Lower Secondary and early IGCSE. Keep LS board tag; exam boards retained for dual-use.

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Browse the hub Learning Packs & Summary, or open the compact 3D Shapes summary.