This project involves decreasing the amount of surface area and excess volume of a lunch line chicken nugget box. We (as a group) feel as though at our school the boxes are way larger and wasteful than it should be. As a result of this thinking, we have decided to re create the box and reduce waste in the environment ( amount of garbage).


Step 1: Step One -- Obtaining Materials

First, we have to gather all the material that will be used in this project. 

You will need;
some sort of designing capability
your schools chicken nugget box ( or chicken tenders if you decide) 
new material to reconstruct or to make a new box ( this could be thin cardboard, the original material from the box, or some sort of paper thick/ strong enough to hold the nuggets ). 

Step 2: Step Two -- Measuring the Original Box

For this step, you must find the volume and the surface area of the box you plan to reduce. To find surface area, you must use the equation BxH=SA (base x height). For this ( reducing the total surface area), you have to find the surface are if each side and add them all up. 

Similarly for the volume, you must measure the base and the height, but as we'll as the width. To find the volume of the original figure, you must use the equation BxHxW (base x height x width) . For our box, it was shaped as a rectangular triangle, so we had to use similar figures to find our volume. 

Our surface area= 
10+10+8.5+8.5+10.625+10.625+12.34+12.34+15.3+15.3=98.25 in. Squared. 

Our volume=54.8 in cubed.

Step 3: Step 3 -- Finding New Dimensions/ Figure

After finding the dimensions of the original box, you must create and find the new dimensions you plan to make then new box with. 

Remember, this new box is supposed to reduce environmental impact. Make sure these dimensions add up to create and have a smaller amount of surface area and volume than the original box. Whether you deiced to make a entirely different shape, or change the dimensions of the original  box, it is supposed to take up less surface area than beofre, while still holding the contents that are supposed to be held inside the container.

Our new figure

We decided to change our original box into a cylinder shape. We did this because it would take up less surface area and reduce enviornmental impact. We reasoned that if the amount of surface area is smaller, than the amount of garbage you are throwing away is also smaller.

The new surface area and volume of our remade figure was found differently than the formulas we used for the rectangular pyramid. For the cylinder, to find surface area we found both ends (the top and bottom) and also the middle and longer part. To find the ends, we used the formula pie x diameter  (p x d). So for both of the ends, the surface area totaled a cumulative sum of both is 20.42 in. squared. After we found the ends, we had to find the middle part. We found this by using b x h. It ended up being 66 in square. Also, we had to add the parts that would hold the box together. For each top, these parts totaled 1.485 in squared each, totaling 2.97 in squared. In total, our new shape has a total surface area equals 89.4 in squared.

To find our new volume we also had to re-measure. Our new volume turned out to be less than our original, due to a reduced surface area. Our new volume turned out to be 49.77 in cubed.

Step 4: Comparing and Analyzing Data and Information/Reflection

As a result of our new figure to hold chicken tenders/nuggets, our excess and waste of material decreased. Our volume and surface area decreased. Our new figure's volume reduced by 9.2% (5.03 inches cubed). Similarly, our surface area also decreased. This percent decrease was 9.1%  (8.85 in squared).

All in all, our project was a success. We created a new box or figure that has potential to decrease excess waste if put into use. 

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