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) in.³ to cm³.

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Identify the conversion factor between inches and centimeters: 1 inch = 2.54 cm.

Recognize that you are converting volume, so you need to cube the linear conversion factor: (1 in)^3 = (2.54 cm)^3.

Calculate the conversion factor for cubic inches to cubic centimeters: 1 in^3 = (2.54 cm)^3.

Express the conversion factor as a single equation: 1 in^3 = 2.54^3 cm^3.

Use this conversion factor to convert any given volume in cubic inches to cubic centimeters by multiplying the volume in in^3 by 2.54^3.

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주요 개념

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Metric and English Units

Metric units, such as centimeters and cubic centimeters, are part of the International System of Units (SI), which is based on powers of ten. English units, like inches and cubic inches, are part of a different measurement system commonly used in the United States. Understanding the differences between these systems is crucial for accurate conversions.

Volume Conversion

Volume is a measure of the space occupied by a substance, typically expressed in cubic units. To convert between different volume units, one must know the relationship between the units involved. For example, 1 inch is equal to 2.54 centimeters, and thus, to convert cubic inches to cubic centimeters, one must cube the conversion factor for linear dimensions.

Conversion Factors

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another. It is derived from the equivalence between two different units. For instance, to convert from cubic inches to cubic centimeters, the conversion factor is (2.54 cm/inch)³, which accounts for the three-dimensional nature of volume.

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) in.3 to cm3.