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## 'Multilink Cubes' printed from http://nrich.maths.org/

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
filled in.

- Can you continue the table?
- What patterns do you notice?
- Can you explain why these patterns occur?