Copyright © University of Cambridge. All rights reserved.
'Gutter' printed from http://nrich.maths.org/
Pick one of the cross-sections - perhaps the rectangle.
In this challenge, why does it help to think about the
cross-section (profile) and not at all about how long the gutter
The material "length" of the profile of the rectangle wasn't
specified in the problem - perhaps it doesn't matter or perhaps we
need to give it a value and see what happens.
By the end you will have used
the idea that this problem is about shape and not about size.
What did your answers tell you about the "best shape"
for the profile?
The picture suggests two other shapes to work with, but there are
other possibilities, which did you think to try? Did you include a