How Much Volume Is Lost When Mistaking Cranberry Barrels for Apple Barrels?

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SUMMARY

The discussion centers on the volume discrepancy when a merchant mistakenly sells cranberry barrels instead of apple barrels. The apple barrel has a volume of 7056 cubic inches, while the cranberry barrel has a volume of 5826 cubic inches. When selling 50 cranberry barrels, the total volume shipped is 291300 cubic inches, compared to the expected 352800 cubic inches for apple barrels. This results in a volume discrepancy of 61500 cubic inches, which converts to approximately 1007.86 liters.

PREREQUISITES
  • Understanding of volume measurement in cubic inches
  • Basic knowledge of unit conversion (cubic inches to liters)
  • Familiarity with arithmetic operations involving large numbers
  • Historical context of barrel measurements in the 1920s
NEXT STEPS
  • Research the historical context of barrel measurements in the United States
  • Learn about unit conversion techniques, specifically cubic inches to liters
  • Explore the implications of measurement discrepancies in trade
  • Investigate the legal standards for barrel volumes in the 1920s
USEFUL FOR

Mathematicians, historians, merchants, and anyone interested in historical trade practices and measurement standards.

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Homework Statement


Two type of "barrel" units were in use in the 1920s in the United States. The apple barrel had a legally set volume of 7056 cubic inches. The cranberry barrel, 5826 inches. If a merchant sells 50 cranberry barrels of goods to a customer who thinks he is receiving apple barrels, what is the discrepancy in the shipment volume in liters?

The Attempt at a Solution



7056x50=352800 inch^3
5826x50=291300 inch^3

352800-291300=61500 inch^3
61.02 inch^3= 1 Litter

61500/61.02=1007.86 IS THIS RIGHT??
 
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