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?
There were two things to discover here:
It took quite a lot of work to solve this seemingly easy problem as Amelia from Belchamp St. Paul Primary School shows in her calculations:
I tried lots of different combinations of numbers and the closest number I got was 101. Then I tried this:
Tom from Brecknock Primary School used this strategy:
First I tried 40+39+24=103 then I tried 40+39+23=102
Next I tried all the possible ways to get rid of the extra 2.
I tried 100-16*2=68
I know that 17*4=68, so I added 68+32=100
Their solution: 16+16+17+17+17+17=100
Are there any more possibilities? Are we sure?