THE PROBLEM OF THE BOX:
A company obtains, as working waste, rectangular cardboard panels, which side-lengths are 4m and 3m. The owner would like to use those panels to create boxes (without lid) to use them in the storehouse to reorganize other materials. He esteemed he needed 1m3 boxes. With particular machines, it is possible to cut those panels in order to fold them and create the box. Which dimensions should the cuts have? Give a complete and exhaustive answer to this problem. The problem leads to a third-degree whole rational equation and so we try to solve it using Ruffini's rule. We come to face the fact that there are no rational solutions for the equation and so we are forced to use mathematical methods.
The enclosure explains how we have come to the solution using the bisection method and the circle's rope's one.
Here two Excel files, the first one describes the bisection method, the second one compares the main numerical methods.
Ask questions related to the experience and a member of the Archimede Project will respond.
Deepen your knowledge by consulting:
Biography of: Paolo Ruffini.
Place of birth: Paolo Ruffini.
Biography of: Isaac Newton.
Archimede project site made by:
Razvan Galatanu, Andrea Pizzardo, Leonardo Rebeschini, Pietro Zanin e Luigi Maninchedda.