Box problem
Box problem
Box problem
The Paper Box Problem is a 3-dimensional extension of the Chicken/Fence Problem.

A rectangular piece of cardboard (40 cm x 50 cm) is used to make a box without the lid in the following way: squares with the side x are cut out of each corner. The rest is folded up and stuck together to form a box. Find the value of x to get the maximal volume of the box.
Aims
The technology enables different approaches for the students. Through different approaches in solving the same problem, and different visualizations,  the students can develop different concept images of the same concept and build connection between them.

Detailed explanation of the aims ...
Prerequisites
letīs solve the task
Draw a sketch!
Solve the task geometrically
Put several values in a table! Solve the task graphically! Solve the task algebraically!
     

And the whole story together...

DISCUSSION
Different approaches - different solutions?
The students have to be encouraged to discuss the different approaches and the solutions with the colleagues.