Nets

There are 26 NRICH Mathematical resources connected to Nets

problem

Auditorium steps

Age

7 to 14

Challenge level

What is the shape of wrapping paper that you would need to completely wrap this model?

problem

Face painting

Age

7 to 11

Challenge level

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.

problem

Chopped dice

Age

14 to 16

Challenge level

Can you make a new type of fair die with 14 faces by shaving the corners off a cube?

problem

Let's face it

Age

7 to 11

Challenge level

In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.

problem

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

problem

Cutting a cube

Age

11 to 14

Challenge level

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?

problem

Cubic conundrum

Age

7 to 16

Challenge level

Which of the following cubes can be made from these nets?

problem

More christmas boxes

Age

7 to 11

Challenge level

What size square should you cut out of each corner of a 10 x 10 grid to make the box that would hold the greatest number of cubes?

problem

All wrapped up

Age

7 to 11

Challenge level

What is the largest cuboid you can wrap in an A3 sheet of paper?

game

Instant insanity

We have a set of four very innocent-looking cubes - each face coloured red, blue, green or white - and they have to be arranged in a row so that all of the four colours appear on each of the four long sides of the resulting cuboid.

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Nets

Auditorium steps

Face painting

Chopped dice

Let's face it

Rhombicubocts

Cutting a cube

Cubic conundrum

More christmas boxes

All wrapped up

Instant insanity