How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
We need to wrap up this cube-shaped present, remembering that we
can have no overlaps. What shapes can you find to use?
Take $36$ cubes.
How many different blocks can you make? For example $6$ by $6$
by $1$, or $3$ by $6$ by $2$, or $3$ by $3$ by $4$, or $2$ by $3$
by $6$, or $2$ by $2$ by $9$, or $2$ by $1$ by $18$.
Just how many different ones can you find?
You could also try growing different pyramids of cubes which in
turn generate different sequences of number. Look at the pictures
below this table and see if you can work out how the table has been