Calculations

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Today I did the calculations for the surface area of the box. For some, I just repeated a different one, for example when calculating the bottom I just copied the calculations from the top. In the end, I added it all up to get my final answer. My calculations are below, I used * as a multiplication sign because my computer does not have the multiplication sign.

I used the measurements from Monday.

Surface Area Calculations

The formula is

(

)

So using my measurements from above I got 654.98

Sources:

The image at the top: https://i.pinimg.com/originals/44/45/bb/4445bb83437c0e30ddbd765f9def568b.jpg

Comments

Calculations Cylinder

Today I decided to do the calculations for the hexagonal prism. The formula for the volume is V=bh But we already know the volume. So we can change it to 936.62 cm³ . =bh . The reason this cylinder is different is that we have to choose the size of the base or the height ourselves. I decided to try 2 different options. I started with a height of 30 cm. So I divided 936.62 by 30 and got 31.2206666667. So that means 31.2206666667 is the area of the base, but to find the surface area we have to figure out the circumference. I calculated with the formula 2 square root pi times area, that the circumference is, 19.81. So if you take the height 30 and multiply that with 19.81 you get 594cm squared. Then you take the area of the circle and them together 31.2206666667+ 594 and you get 625.220666667. So the surface area is 625.2206666667 cm squared. This is not the most efficient packaging but right now it is in se...

Pictures of Calculations

I thought that maybe it would be a good idea to upload pictures of my calculations on paper. So here are the calculations for all my shapes.

Conclusion

After this project and all my calculations, I can conclude that the cube was the most efficient shape. According to my calculations, the square has a surface area of 574.372363704 cm, and the original shape had a surface area of 654.98 cm. Meaning its about 80cm more. Minimizing the surface area is a very important step to take when wanting to become an ethical and sustainable company. For more details on my calculations check my posts with specific info for each shape and my post with all the calculations on paper. To find the surface area of the square I worked backward from the volume to get the length of the edges using that I could easily find the surface area. I designed and constructed the cube with lots of care and am really glad with how it turned out. If I was Bolletje I would consider my product because it is sustainable, cheaper for the producer and the design is eye-catching.

Math Project

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