There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
The Mean Problem
Stage: 4 Challenge Level:
Students are often familiar with the process of creating a mean
value, but do not always see that process in reverse : this problem
offers an opportunity to use the fact that the mean value implies
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.