Topic summary · Foundation · CIE Core

3D Shapes 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.

Open Learning Sheet — 3D Shapes Download 3D Shapes answers PDF

Files: foundation-24 3D Shapes handout.pdf · foundation-24 3D Shapes answers.pdf · free public downloads · diagrams in the PDFs

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.

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 Sheet Answers PDF

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