Final answer:
A single box of pasta weighs 0.454 kilograms. A total of 1,395 kilograms of pasta were shipped when rounded to the nearest kilogram.
Step-by-step explanation:
To address the questions posed regarding the weight of pasta shipments:
Part A:
The net weight of a single box of pasta is 454 grams. To convert this weight to kilograms, we use the conversion factor that 1 kilogram equals 1,000 grams.
Net weight in kilograms = 454 grams ÷ 1,000 = 0.454 kilograms
Part B:
To calculate the total weight of pasta shipped, we first determine the weight of pasta per case.
Weight per case = Net weight per box × Number of boxes in a case = 0.454 kg × 48 boxes = 21.792 kilograms
Next, we calculate the weight for all cases shipped:
Total weight for all shipped cases = Weight per case × Number of cases shipped = 21.792 kg × 64 cases
Total weight for all shipped cases = 1,394.688 kg
To provide the weight to the nearest kilogram, we round this number:
Rounded total weight = Approximately 1,395 kilograms