Can you work out the area of the inner square and give an
explanation of how you did it?
Stage: 3 Challenge Level:
Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube
made from 27 unit cubes so that the surface area of the remaining
solid is the same as the surface area of the original 3 by 3 by 3
cube? In how many different ways can this be done?
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.