Nets

There are 26 NRICH Mathematical resources connected to Nets

problem

Favourite

Tet-trouble

Age

14 to 16

Challenge level

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

problem

Favourite

A puzzling cube

Age

7 to 11

Challenge level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

problem

Favourite

Cut nets

Age

7 to 11

Challenge level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

problem

Favourite

The spider and the fly

Age

14 to 16

Challenge level

A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?

problem

Gym bag

Age

11 to 16

Challenge level

Can Jo make a gym bag for her trainers from the piece of fabric she has?

problem

Cool as ice

Age

11 to 16

Challenge level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

game

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.

problem

Triangular faces

Age

7 to 11

Challenge level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

problem

Net result

Age

11 to 14

Challenge level

The net shown here is cut out and folded to form a cube. Which face is then opposite the face marked X?

problem

Air nets

Age

7 to 18

Challenge level

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

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For younger learners

Nets

Tet-trouble

A puzzling cube

Cut nets

The spider and the fly

Gym bag

Cool as ice

Instant insanity

Triangular faces

Net result

Air nets