This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
Flora the florist has $24$ white, $42$ red and $36$ yellow roses. What is the greatest number of bunches she can make if she uses all of these flowers and all the bunches are identical?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.