Paper Nets of Solid Shapes for School Maths Lab

Quick Answer: Paper Nets of Solid Shapes are flat printed patterns that fold along their edges into three-dimensional solids. Students fold the paper nets of solid shapes to see how the faces of a solid lie side by side before folding, which supports lessons on faces, edges, vertices and surface area.

From Flat Pattern to Solid

A net is a two-dimensional shape that folds up into a solid with no gaps and no overlaps. The cube alone has eleven different nets, yet many arrangements of six squares will not fold into a cube at all, which surprises students the first time they try. Folding real paper lets them test a prediction instead of relying on a drawing.

Because the net and the solid share exactly the same faces, the area of the net equals the surface area of the solid. Unfolding a cuboid shows three pairs of equal rectangles, which is where the formula 2(lb + bh + hl) comes from. Nets of curved solids behave differently: the curved surface of a cylinder opens out into a rectangle whose length equals the circumference of the base.

Paper nets are meant to be folded and handled, so they wear with use, and many schools keep one set for demonstration while giving students their own copies to cut. Which solids are included, and whether the nets come pre-creased, should be confirmed with LabEquip.

Specifications

Care & Handling

• Crease along the fold lines against a ruler edge before folding, so the edges of the finished solid stay straight.
• Store unused nets flat in a folder away from moisture, which makes card curl.
• If students glue their nets into solids, keep a separate flat set for re-use in later lessons.

Applications

• Predicting whether an arrangement of six squares will fold into a cube, then testing it
• Counting faces, edges and vertices and checking Euler’s formula F + V − E = 2
• Finding surface area by measuring and adding the areas of the faces on the flat net
• Matching nets to solids and finding which squares of a cube net end up as opposite faces

Why Choose LabEquip

Middle-school teachers often use flat nets alongside a rigid model such as the Polyhedron with Net or the Folding Geometric Solid, so students compare the paper version with a solid that will not crush. All three are part of LabEquip’s Mathematics School Lab Products.

Frequently Asked Questions

How many nets does a cube have?

A cube has 11 distinct nets, counting rotations and reflections of the same pattern as one. Any arrangement of a row of four squares with one square above the row and one below it works, while a block of six squares in two rows of three does not fold into a cube.

What is the difference between a net and a solid?

A net is the flat pattern; the solid is what you get after folding it. The net shows every face at once, which makes it easy to measure areas, while the solid shows how the faces meet along edges and at vertices.

How do nets help with surface area?

The surface area of a solid equals the total area of its net, because folding does not stretch or shrink the paper. Students measure each face on the flat net, add the areas, then fold the net to confirm that no face was counted twice or missed.

What is Euler’s formula, and can nets be used to check it?

For any convex polyhedron, faces plus vertices minus edges equals 2. After folding a net, students count faces, vertices and edges: a cube gives 6 + 8 − 12 and a square pyramid gives 5 + 5 − 8, and both come to 2.

Can the nets be used more than once?

That depends on how they are used. Nets that are folded and opened again carefully can serve several lessons, but nets that are glued or cut apart are single use. Many teachers keep one reusable set and give students copies of the patterns to cut out.

Which classes study nets of solids?

In most school syllabuses, nets and the visualisation of solid shapes appear in the middle-school years, and surface area of cubes, cuboids and cylinders follows in later classes. Primary teachers also use simple cube and cuboid nets for early work on 3-D shapes.

Last Updated: September 2026