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The 1-st pretask.
One old school task :
Residents of four villages located on the corners of a square with sides of 4 km, decided to join the villages by systen of road. Residents collected money for the road with length of 11 km. Is there enough of that money for this project?
See the way to the answer here - http://communities.ptc.com/videos/2557
The 2-nd PreTask (for Mathcad).
Residents of the eight underground cities located on the vertices of the cube, decided to connect thecities by tunnels. How to choose a scheme of the tunnels, the length of the tunnels was minimal?
The main task (for Mathcad and Creo).
I would like to make this stand for cutlery (see the picture). What form must have this cutlery with minimal mass - see PreTasks above (D=3.5 cm L=8cm d=3mm Density=10.5 gm/cm^3 - silver for example):