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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
All textbooksBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 54d
Chapter 1, Problem 54d

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (d) ft3 to L.

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1
Identify the conversion factor between cubic feet and cubic meters. The conversion factor is 1 ft^3 = 0.0283168 m^3.
Recognize that 1 cubic meter (m^3) is equivalent to 1000 liters (L).
Combine the two conversion factors to convert from cubic feet to liters: 1 ft^3 = 0.0283168 m^3 and 1 m^3 = 1000 L.
Multiply the conversion factors: 1 ft^3 = 0.0283168 m^3 * 1000 L/m^3.
The final conversion factor is 1 ft^3 = 28.3168 L.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Metric and English Units

Metric units, such as liters (L), are part of the International System of Units (SI) and are based on powers of ten, making conversions straightforward. English units, like cubic feet (ft³), are part of the imperial system and are not based on a decimal system, which can complicate conversions. Understanding the differences between these systems is essential for accurate unit conversion.
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Metric Prefixes Usage

Volume Conversion

Volume conversion involves changing a measurement from one unit of volume to another, such as from cubic feet to liters. To perform this conversion, one must know the relationship between the two units, which can be expressed through a conversion factor. For example, 1 cubic foot is approximately equal to 28.3168 liters, which is crucial for converting ft³ to L.
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Conversion Factors

A conversion factor is a numerical ratio used to convert one unit to another. It is derived from the equivalence between two different units of measurement. In this case, the conversion factor from cubic feet to liters allows for the multiplication of a volume in cubic feet by this factor to obtain the equivalent volume in liters, ensuring accurate and consistent results in calculations.
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