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Chapter 1: Problem 55

Fill in each blank. \(1 \mathrm{~cm}^{3}=\)_________\(\mathrm{L}\)

Short Answer

Expert verified
1 cm鲁 = 0.001 L

Step by step solution

01

Understanding the Problem

We need to convert cubic centimeters to liters. Specifically, the task is to determine how many liters are equivalent to 1 cubic centimeter.
02

Identify the Conversion Factor

The conversion factor between cubic centimeters and liters is known: 1 cubic centimeter (cm鲁) is equivalent to 0.001 liters (L). This is a standard conversion factor used for converting volumes from cubic centimeters to liters.
03

Apply the Conversion

We apply the conversion factor to the given volume: \(1\text{ cm}^{3} \times 0.001\text{ L/cm}^{3}\) which equals 0.001 liters. Thus, 1 cubic centimeter is 0.001 liters.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cubic Centimeters to Liters
Converting cubic centimeters (cm鲁) to liters (L) is a straightforward process that involves understanding the relationship between these two units of measurement. One of the key points to note is the standard conversion factor.
  • 1 cubic centimeter (cm鲁) is equivalent to 0.001 liters (L).
This means that for every cubic centimeter of volume, you have 0.001 liters. The math behind this is simple: you multiply the number of cubic centimeters by 0.001 to get the equivalent volume in liters. For example, if you have 100 cm鲁, it converts to 0.1 L. This direct multiplication makes conversions quick and easy, aiding in various practical applications like measuring small volumes of liquids.
Volume Conversion
Volume conversion is a crucial skill in both academic and everyday settings. It allows us to shift between different units, making sense of measurements based on context. Understanding and using conversion factors is the central aspect. To convert any volume from one unit to another, follow these steps:
  • Identify the units you are converting from and to, such as cubic centimeters to liters.
  • Use the correct conversion factor, like 0.001 liters per cubic centimeter.
  • Multiply the original volume by this conversion factor.
This approach remains consistent, whether you are converting cubic inches to cubic meters or gallons to liters. Practicing these conversions helps ensure your fluency across various unit systems, particularly when dealing with scientific experiments and culinary recipes.
Metric System Conversion
The metric system is a decimal-based system of measurement used worldwide. One of its biggest advantages is its consistency and ease of conversion. Each category of measurement, such as length, volume, and mass, has consistent prefixes that simplify conversions. When converting within the metric system:
  • Remember that units are often related by factors of 10.
  • Common prefixes include milli (0.001), centi (0.01), and kilo (1000).
  • Conversions usually involve moving the decimal point left or right.
For example, converting cubic centimeters to liters involves the prefix milli, where 1 cm鲁 equals 0.001 L, a straightforward 10-based conversion, making it simple to understand and apply. Mastery of metric conversions enhances understanding in scientific and engineering fields, where precision is key.

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Most popular questions from this chapter

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