Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

Cubes

Investigate the number of faces you can see when you arrange three cubes in different ways.

Christmas Presents

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

Three Cubed

Why do this problem?

This problem is one which can help learners to relate $2-D$ representations and $3-D$ shapes. It is definitely one which requires making the shapes practically from interlocking cubes such as "multilink" using the $2-D$ drawings and then recording on squared paper (preferably in colour).

Key questions

Which shape are you making now?
How can those two shapes fit together?
Which side of the cube are you recording now?
Which side of the cube comes next to that side?

Possible extension

Learners could draw the various elevations; plan view, side view etc and even cross-sections.

Possible support

Suggest making the shapes from interlocking cubes such as "multilink" in the same colours as in the problem to make it easier to tell them apart.