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

In summary, a unit conversion problem is a mathematical question that involves converting a given measurement from one unit to another using a conversion factor. We need to convert units in order to compare or use measurements that are in different units. To solve a unit conversion problem, you need to identify the given unit, the desired unit, and the conversion factor, and then multiply the given measurement by the conversion factor. Some common conversion factors include 1 meter = 100 centimeters, 1 kilogram = 1000 grams, 1 liter = 1000 milliliters, 1 minute = 60 seconds, and 1 hour = 60 minutes. Unit conversion problems can be done mentally for simple and familiar conversion factors, but for more
  • #1
bilalbajwa
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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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  • #2
Looks good to me!
 
  • #3


Yes, your calculation is correct. The discrepancy in the shipment volume is 1007.86 liters. It is important to always pay attention to unit conversions when dealing with different measurement systems to ensure accurate and precise calculations. In this case, the discrepancy between the two types of barrels highlights the importance of using standardized units of measurement in scientific and commercial settings.
 

What is a unit conversion problem?

A unit conversion problem is a mathematical question that involves converting a given measurement from one unit to another. This can be done by using a conversion factor, which is a ratio that relates the two units.

Why do we need to convert units?

We need to convert units in order to compare or use measurements that are in different units. For example, if we want to compare the length of an object in inches and centimeters, we need to convert one unit to the other.

How do I solve a unit conversion problem?

To solve a unit conversion problem, you need to identify the given unit, the desired unit, and the conversion factor. Then, multiply the given measurement by the conversion factor to get the equivalent measurement in the desired unit.

What are some common conversion factors?

Some common conversion factors include: 1 meter = 100 centimeters, 1 kilogram = 1000 grams, 1 liter = 1000 milliliters, 1 minute = 60 seconds, and 1 hour = 60 minutes.

Can unit conversion problems be done mentally?

Yes, unit conversion problems can be done mentally if the conversion factor is a simple and familiar one. However, for more complex conversions, it is recommended to use a calculator or conversion table to ensure accuracy.

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