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Chapter 1: Problem 43

What is the difference between a cubic centimeter (SI) and a milliliter (metric)?

Short Answer

Expert verified
1 cubic centimeter (cc) equals 1 milliliter (mL); they represent the same volume.

Step by step solution

01

Define Cubic Centimeter

A cubic centimeter (cc) is a unit of volume in the International System of Units (SI). It is the volume of a cube with each side measuring 1 centimeter. Mathematically, it is expressed as \(1 \text{ cm}^3\).
02

Define Milliliter

A milliliter (mL) is a metric unit of volume, equal to one-thousandth of a liter. It is commonly used to measure liquid volumes.
03

Understand Volume Equivalence

In terms of volume measurement, 1 cubic centimeter is exactly equal to 1 milliliter. Both units represent the same volume.
04

Summarize the Difference

While the cubic centimeter belongs to the SI unit system and the milliliter belongs to the metric system, they are equivalent in terms of the volume they represent. There is no numerical difference between them.

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Key Concepts

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

Cubic Centimeter
A cubic centimeter, often abbreviated as cc or cm鲁, is a unit of volume in the International System of Units (SI). It is used to measure the space occupied by an object or substance. The concept is simple: imagine a cube that has all sides of this cube measuring exactly 1 centimeter. The volume of this cube is 1 cubic centimeter or 1 cm鲁.

To further understand its application, consider that the cubic centimeter is commonly used in scientific and medical fields. For example:
  • Engine sizes in vehicles often use cubic centimeters.
  • Medication dosages sometimes are given in cubic centimeters.
While simple, the cubic centimeter is an essential unit for measuring small to medium volumes with great precision.
Milliliter
A milliliter, symbolized as mL, is a metric unit of volume that is equal to one-thousandth of a liter. Although it belongs to the metric system, its equivalence to a cubic centimeter makes it very practical for everyday use. A milliliter is exactly the same volume as a cubic centimeter, meaning 1 mL equals 1 cm鲁.

Milliliters are often used in contexts involving liquid measurements, and they appear frequently in:
  • Cooking recipes, to specify amounts of liquids like water or milk.
  • Beverage containers, where the volume may be labeled in milliliters.
  • Medical fields, where fluid dosages are often measured in milliliters.
Given its versatility, the milliliter is commonly encountered in both scientific contexts and everyday life.
International System of Units
The International System of Units, abbreviated as SI, is a globally accepted system for measurement across various fields. It provides a set of standard units for science and commerce, which ensures consistency and clarity. Volume, in the SI system, is measured in cubic meters (m鲁), but for smaller volumes, units like cubic centimeters (cm鲁) are used.

The SI system is crucial because:
  • It simplifies communication in science and technology across countries.
  • It allows precise and consistent measurements.
  • It is continuously updated by international agreement, keeping it relevant and reliable.
When using the SI unit for volume measurements, one can easily convert between metric and SI units, such as cubic centimeters to milliliters, since they represent the same volume. This seamless interchangeability underscores the strength and utility of the International System of Units.

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Most popular questions from this chapter

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the six fundamental units. (a) Mass (b) Length (c) Temperature (d) Volume (e) Energy (f) Density

The melting point of table salt is \(1474^{\circ} \mathrm{F}\). What temperature is this on the Celsius and Kelvin scales?

What is the density of lithium metal in \(\mathrm{g} / \mathrm{cm}^{3}\) if a cylindrical wire with a diameter of \(2.40 \mathrm{~mm}\) and a length of \(15.0 \mathrm{~cm}\) has a mass of \(0.3624\) g?

Gemstones are weighed in carats, with 1 carat \(=200 \mathrm{mg}\) (exactly). What is the mass in grams of the Hope Diamond, the world's largest blue diamond at \(44.4\) carats? What is this mass in ounces? (See conversion on the inside back cover.)

Vinaigrette salad dressing consists mainly of oil and vinegar. The density of olive oil is \(0.918 \mathrm{~g} / \mathrm{cm}^{3}\), the density of vinegar is \(1.006 \mathrm{~g} / \mathrm{cm}^{3}\), and the two do not mix. If a certain mixture of olive oil and vinegar has a total mass of \(397.8 \mathrm{~g}\) and a total volume of \(422.8 \mathrm{~cm}^{3}\), what is the volume of oil and what is the volume of vinegar in the mixture?
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