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'Sending a Parcel' printed from http://nrich.maths.org/
The Post Office used to have a strange way of limiting the size of
parcels. The maximum allowed was "$6$ feet combined length and
girth". That meant you added together the distance round the middle
of the parcel (that's the girth) and the length.
I used to imagine sending a fishing rod very nearly $6$ feet long
and just a few inches round the girth!
This problem is more up-to-date:
We will call the maximum combined length and girth $2$ metres
(which is a bit more than $6$ feet).
What is the greatest volume you can get for a rectangular (cuboid)
parcel if the maximum combined length and girth are $2$ metres and
measurements are all made in whole centimetres?