2D representations of 3D shapes

There are 44 NRICH Mathematical resources connected to 2D representations of 3D shapes

problem

Perfect eclipse

Age

14 to 16

Challenge level

Use trigonometry to determine whether solar eclipses on earth can be perfect.

problem

Soma - so good

Age

11 to 14

Challenge level

Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?

problem

28 - upward and onward

Age

7 to 11

Challenge level

Can you find ways of joining cubes together so that 28 faces are visible?

problem

Take ten

Age

11 to 14

Challenge level

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?

problem

The solid

Age

11 to 16

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.

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

Solids

Age

11 to 16

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.

problem

Icosian game

Age

11 to 14

Challenge level

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.

problem

Moving squares

Age

14 to 16

Challenge level

How can you represent the curvature of a cylinder on a flat piece of paper?

problem

Christmas boxes

Age

11 to 14

Challenge level

Find all the ways to cut out a 'net' of six squares that can be folded into a cube.

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For younger learners

2D representations of 3D shapes

Perfect eclipse

Soma - so good

28 - upward and onward

Take ten

The solid

Cutting a cube

Solids

Icosian game

Moving squares

Christmas boxes