The ratio of product content to packaging (i.e., the weight of product/weight of

Question

The ratio of product content to packaging (i.e., the weight of product/weight of packaging) is an indicator that is sometimes useful when thinking about packaging waste. Why is a high value of this ratio desirable? When might it not be desirable? According to the geometric principle of scaling, if the dimensions of an object are increased by some scaling factor, the volume changes by the cube of the factor, whereas the area increases by the square of the factor. Explain how buying a larger quantity in a single package of the same shape affects the product content to packaging ratio? The weights of 1-L, 2-L, and 3-L PET bottles (1987 values from Table 4.1) are 42 g, 56.1 g, and 84.7 g, respectively. Using 1 L = 1000 g of soda, calculate the product content to packaging ratio for these three sizes of bottles. Are the results consistent with the discussion above? If not

Explanation / Answer

a) I have taken the LCM of 1 lt, 2 lt and 3 lit as 6

for 6 lts using 1 liter pet bottles packing weight would be 42 X6 =252g

for 6 lts using 2 litres pet bottles packing weight would be 56.1 X3 =168.3g

for 6 lts using 3 litres pet bottles packing weight would be 84.7 X 2 =169.4g

High value of ratio is helpful because we can pack more quantity with less number of bigger quantity pet bottles

b) please see above example for the same quantity how packing weight changes

c)we can see that 6 litres with two litres and three litres are almost the same

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