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Construct-o-straws

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

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Cubes

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

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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?

Green Cube, Yellow Cube

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

For the $2$ by $2$ cube

Idil (Private IRMAK Primary & Secondary School, Istanbul, Turkey) says:

All of them must be the same. Three faces with one corner in common will be yellow, the other three faces with the diagonal corner will be green.

Jason (Priory School UK), Christina (Malborough Primary School, UK), and Dogan (Private IRMAK Primary & Secondary School, Istanbul, Turkey) drew a net of a cube to show the colour of each face.


For the $3$ by $3$ cube

Dogan Private IRMAK Primary & Secondary School, Istanbul, Turkey) explains that:

We can paint corners the same as we did before. Then we can paint cubes in the middle like two sides yellow, two sides green - you don't need to paint the other sides. The following figure shows an opened middle cube and how it should be painted:


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.