This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Age 5 to 7 Challenge Level:
I can join two equilateral triangles together along their edges like this:
How many different ways are there to join three equilateral triangles together? (You must match an edge to an edge.)
How do you know you have got them all?
How many different ways are there to join four equilateral triangles together?
Have you got a system for checking that you have them all?
You might like to use this interactivity to try out your ideas. Click the red triangle to make a new triangle appear. You can move the triangles around by dragging with your mouse. If you hover your mouse over a corner, you will see a white circle where you can click to rotate the triangle.
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.