--- title: "Nets of 3-D shapes" description: "Recognise nets as connected flat patterns of faces. Identify the face panels needed for cubes, cuboids, triangular prisms and square-based pyramids, interpret a described prism layout, and check state" canonical: https://lightmysky.com/learn/mathematics/nets-of-3-d-shapes-mt_vnJEztczji source: https://lightmysky.com/learn/mathematics/nets-of-3-d-shapes-mt_vnJEztczji.md retrieved: 2026-11-12 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Nets of 3-D shapes Recognise nets as connected flat patterns of faces. Identify the face panels needed for cubes, cuboids, triangular prisms and square-based pyramids, interpret a described prism layout, and check stated gaps, overlaps and matching lengths. Subject: Mathematics · Area: Geometry · Ages 8 to 11 Page: https://lightmysky.com/learn/mathematics/nets-of-3-d-shapes-mt_vnJEztczji ## Ready when they can - Recognise a net and identify the face shapes, sizes and counts needed for common solids - Describe where faces meet in a folded cube or triangular prism, and match cuboid face dimensions and joining-edge lengths - Explain stated gaps, overlaps and unsuitable face panels, and recognise that turning a whole working net preserves its joins ## Lesson: Nets of 3-D shapes You have named flat faces on solids. A net spreads those faces into one connected flat pattern. Each face appears once, including faces hidden in a drawing of the solid. Panels do not overlap in the flat pattern. Joined edges become fold lines. When folded, face edges and corners meet to make the solid. *(drawing: A cube has six square faces, including hidden faces.)* A cube net needs six squares of the same size. This picture shows one working net. The square positions matter as well as the count. Folded faces must cover different sides, with no gaps or overlaps. At each corner of the cube, three square faces meet. A cuboid has six rectangular faces: top and bottom, front and back, left and right. After counting the top and bottom, four side faces remain. Opposite faces match in size. Its net must place all six faces so the box closes. Glue tabs fasten the panels; they are not extra faces. A triangular prism has two matching triangular ends and three rectangular side faces. Each end has three edges, each meeting one rectangle when folded. The triangles close opposite ends, so the net's panels must reach those places. Centimetres are units of length, written cm. A 4 cm by 8 cm rectangle has sides of those two lengths. **Example.** One working prism net uses three 4 cm by 8 cm rectangles joined along their 8 cm edges in a strip. Each triangular panel has three 4 cm sides. Attach the triangles to opposite 4 cm edges of the middle rectangle. The rectangles wrap around the sides. The triangles close opposite ends. A square-based pyramid net needs one square and four triangles. The square becomes the base. The triangles fold up and meet at one point. Their sizes must let them meet without gaps or overlaps. A face count alone does not prove that a pattern works. A straight row of six equal squares cannot make a cube. Four wrap around the sides. The last two then overlap covered faces, leaving two faces open. Turning a working net on paper keeps its sizes and joins unchanged. **Example.** Free edges that will meet all the way along need equal lengths. A 3 cm edge cannot match a 7 cm edge. Opposite cuboid faces must match too: this 7 cm by 3 cm panel needs another 7 cm by 3 cm panel opposite it. **Example.** To sketch one cube net, draw four equal squares in a row. Add one equal square above the second square and one below it. Fold the four-square strip around the sides. The two extra squares close the other faces. Turning this whole drawing on paper leaves it a working net. **Recap.** A net is the flat, unfolded layout of a 3-D shape that closes with no gaps when every face is folded into place. *Lesson, practice questions and flashcards written for this dataset.* ## Practice 18 questions on this page, each with its working shown. ## Needs first - [2-D faces on 3-D shapes](https://lightmysky.com/learn/mathematics/2-d-faces-on-3-d-shapes-mt_UooUHC_V7U) ## Optional connections - [Building with 3-D Shapes](https://lightmysky.com/learn/mathematics/building-with-3-d-shapes-mt_QNxFnxikCN) ## Opens up - [Drawing a design so someone else can build it](https://lightmysky.com/learn/design-and-technology/drawing-a-design-so-someone-else-can-build-it-mt_8ezErqUhZw) - [Surface Area of Solids](https://lightmysky.com/learn/mathematics/surface-area-of-solids-mt_hdhmurUndc) - [3-D shapes (age 10+)](https://lightmysky.com/learn/mathematics/3-d-shapes-age-10-mt_REwgr0d_ss) - [3-D shapes (age 9+)](https://lightmysky.com/learn/mathematics/3-d-shapes-age-9-mt_wUSbRt3-qw)