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?
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
Somebody (who didn't give their name) said
that they thought the best place to start was a little over half
the length, height and width of the box, which seems very
A number of you who have tried it drew tables
to show possible lengths, heights and widths of the cuboid with the
volume for each. This also seems like a good idea. Don't forget
that having some cubes to hand might also be very helpful, or if
you're good at 3D drawing, you could sketch out the cuboid in the
box to check whether another would fit.
Well done to Joe, Mark, Lucy and Alex from
Hazel Grove High School, Stockport who said that the smallest
cuboid they could find is 7cm by 7cm by 7cm. They wrote:
They really persevered with their solutions.
There is an alternative solution which you may
want to think about too. Have a look at the hints and let us know
if you find anything out!