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nastja
27.07.2019 •
Mathematics
50points tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. each box the apples are packed in has to have a volume of 5184 in3. design a box that will fill the trailer with no wasted space, and meet the volume requirements. 1. analyze the information in the problem. clearly explain your strategy for designing the box to fit the requirements. 2. design a box that will work. sketch it and give its dimensions. 3. the boxes will be made from cardboard. packing tape will be used to hold the sides together, so no overlap is necessary. draw a net of the box you designed. label all the sides of the net with the dimensions. 4. use the net to calculate the surface area of the box. 5. the nets will be used to create the boxes, and will be cut out of rectangular sheets of cardboard that are each as wide as the widest part of the net and as tall as the tallest part of the net. what are the dimensions and area of the rectangular sheets used for your box design? 6. what percentage of the rectangular sheets of cardboard will be wasted because it is not part of the box and will be discarded when the net is cut out?
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