Also, Mr. Cole's classroom is now the Design Engineering Division of the factory. Furthermore, you and every one of your fellow classmates are design engineers. Management has presented our division with the following problem. Therefore management has decided that our division must design a box to make out of these surplus poster boards so that it will hold the most candy possible. Unfortunately, management has also informed us that an industrial spy from the Dowell Candy Factory has infiltrated the Production Division in the MASH Units.
Management knows who the spy is and wants to send bad information to that spy.
Therefore, management also wants us to design a box from the poster board, which will hold the least amount of candy using the most posterboard. Since this project is of such extreme importance to the success of our factory this year, the engineer who designs the box with the largest volume from the poster board will be awarded a bonus. Also, the engineer who designs the box with the least volume to surface area ratio will also be given the same bonus. The latter design will be intentionally leaked to the Dowell Candy Factory spy. Your job will be to draw a blueprint, cut out and create a model of the box from your blueprint, record all the measurements and calculate all areas of the blueprint, and calculate the volume and surface area of the box.