If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?
This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
We received solutions to this problem from
Nisarg, Kim and Grace. (Grace goes to Stradbroke Primary School.)
Here is a picture of the solution (you can
still see how it is made, even though the "well done" message
covers some of it up!):
Nisarg wrote a similar explanation about why
you could fit the trionimoes into the first box but not the
Is it only about the number of squares in the
box being a multiple of $3$?
Could you fit the trionimoes into the box