Jordan Mills, Sabrina Reyes, Isa Card, Chandler Anderson

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Volume of Rectangular Prisms

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Presentation transcript:

Jordan Mills, Sabrina Reyes, Isa Card, Chandler Anderson Creminellis Box Jordan Mills, Sabrina Reyes, Isa Card, Chandler Anderson

Our Goal Our groups goal for this project was to maximize the amount of salami containers we could stack onto a 42x36 pallet with a maximum height of 55 inches. We had to figure out how we could stack the containers efficiently and effectively and which container designs were easiest to stack.

Our Concept Designs Design 1 Design 2 Design 3 13.5 in. 6 in. 6 in. 3 in. 6 in. 3 in. 9 in. 9 in. 9 in. 4.5 in. 3 in. 4.5 in. Volume: (ab)/2 =(4.5x3)/2 = 6.75 6.5(lw) =6.5(4.5)(3)x9 =820.125 in^3 Volume: ((3√(3))/2) a^2 a=side=3 =23.38x9 =255.42 in^3 Volume: ½(3)(4.5)9 =121.5 +(3)(4.5)(9) =182.25 in^3 Design 3 has the least amount of volume, so we decided to use it in our pallet configurations.

Stacking configuration

Our Results We can fit a total of 288 boxes onto our pallet. 9 high, 8 wide, 4 deep. Because of how we stacked the boxes, we lose a total of 2047.68 inches. There was about .66 in. left over at the back of the pallet. We multiplied that by the height and width of the pallet to determine the total amount (1318.68 in.) We then figured out how much space was wasted on the sides so we took the regular area of a box (182.25) and divided it in half which gave us 91.125. We then multiplied by 1318.68 which gave us 2047.68 inches lost.

Conclusion We decided that Design 3 was best for maximizing the amount of boxes used because it had the smallest volume. We believe that that space lost was overall minimal because of the large amount of boxes we were still able to fit. Thank You!