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?
|