Cubic Centimeters (cm3) | Cubic Decimeters (dm3) |
---|---|
0 | 0 |
1 | 0.001 |
2 | 0.002 |
3 | 0.003 |
4 | 0.004 |
5 | 0.005 |
6 | 0.006 |
7 | 0.007 |
8 | 0.008 |
9 | 0.009 |
10 | 0.01 |
20 | 0.02 |
30 | 0.03 |
40 | 0.04 |
50 | 0.05 |
60 | 0.06 |
70 | 0.07 |
80 | 0.08 |
90 | 0.09 |
100 | 0.1 |
1000 | 1 |
Converting between cubic centimeters () and cubic decimeters () involves understanding the relationship between the units and applying the appropriate conversion factor. Both units measure volume in the metric system. This section will clarify the conversion process, provide real-world examples, and share interesting facts related to volume measurement.
A decimeter (dm) is equal to 10 centimeters (cm). Therefore, a cubic decimeter () is the volume of a cube with sides of 1 dm each, while a cubic centimeter () is the volume of a cube with sides of 1 cm each.
The relationship between them is:
To convert cubic units, we need to cube the linear conversion factor:
This means that 1 cubic decimeter is equal to 1000 cubic centimeters.
To convert cubic centimeters to cubic decimeters, divide the value in by 1000.
Example: Convert 1 to :
Step-by-Step Instructions:
To convert cubic decimeters to cubic centimeters, multiply the value in by 1000.
Example: Convert 1 to :
Step-by-Step Instructions:
Medical Syringes: Small medical syringes often measure dosages in cubic centimeters (cc), which is equivalent to milliliters (mL). Larger volumes might be discussed in terms of deciliters (dL) or liters (L), where .
Aquariums: Small aquariums might have their volume specified in cubic decimeters (or liters). Larger aquariums would likely be measured in larger units such as liters or even cubic meters.
Engine Displacement: Engine displacement, especially in smaller engines (like those in motorcycles or lawnmowers), might be specified in cubic centimeters (cc). For example, a 50cc scooter has an engine displacement of 50 or 0.05 .
The Metric System: The metric system, including units like centimeters and decimeters, was developed during the French Revolution in the late 18th century. Its goal was to create a standardized, universal system of measurement based on powers of ten.
Archimedes: While not directly related to cm³ and dm³, Archimedes, a Greek mathematician and inventor, made significant contributions to understanding volume and displacement. His famous "Eureka!" moment involved determining the volume of an irregularly shaped object (the king's crown) by measuring the water it displaced. This principle is fundamental to understanding volume measurement.
See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Cubic Decimeters to other unit conversions.
Cubic centimeters (cm³) is a unit of volume in the metric system. Understanding what it represents and how it relates to other units is essential in various fields, from everyday life to scientific applications.
A cubic centimeter is the volume of a cube with sides that are one centimeter in length. In other words, imagine a perfect cube; if each edge of that cube measures exactly one centimeter, then the space contained within that cube is one cubic centimeter.
Cubic centimeters are derived from the base unit of length in the metric system, the meter (m). A centimeter (cm) is one-hundredth of a meter ().
To get a unit of volume, we cube the unit of length. Therefore, 1 cubic centimeter (1 cm³) is:
This means that one cubic meter contains one million cubic centimeters.
Cubic centimeters are numerically equivalent to milliliters (mL).
This equivalency is extremely useful in both scientific measurements and everyday life, especially when dealing with liquids.
Cubic centimeters are widely used to measure relatively small volumes. Here are some examples:
For more information on metric units and volume measurements, you can refer to the NIST (National Institute of Standards and Technology) website.
Cubic decimeters is a unit of volume, commonly used in various fields. This section aims to provide a comprehensive understanding of what cubic decimeters are, how they are derived, and their real-world applications.
A cubic decimeter (dm$^3$) is a unit of volume in the metric system. It represents the volume of a cube with sides that are each one decimeter (10 centimeters) in length. Since one liter is also defined as the volume of a cube 10 cm × 10 cm × 10 cm, one cubic decimeter is equal to one liter.
Therefore, 1 cubic meter (m$^3$) is equal to 1000 cubic decimeters. The relationship can be expressed as:
Since 1 dm$^3$ = 1 liter (L), it follows that:
Cubic decimeters (or liters, since they are equivalent) are frequently used to measure the volume of liquids and containers. Here are some common examples:
A cubic decimeter of pure water at its maximum density (approximately 4°C) has a mass of almost exactly one kilogram. This is a key relationship that connects volume and mass within the metric system.
This relationship is useful in various scientific and engineering calculations.
Convert 1 cm3 to other units | Result |
---|---|
Cubic Centimeters to Cubic Millimeters (cm3 to mm3) | 1000 |
Cubic Centimeters to Cubic Decimeters (cm3 to dm3) | 0.001 |
Cubic Centimeters to Millilitres (cm3 to ml) | 1 |
Cubic Centimeters to Centilitres (cm3 to cl) | 0.1 |
Cubic Centimeters to Decilitres (cm3 to dl) | 0.01 |
Cubic Centimeters to Litres (cm3 to l) | 0.001 |
Cubic Centimeters to Kilolitres (cm3 to kl) | 0.000001 |
Cubic Centimeters to Megalitres (cm3 to Ml) | 1e-9 |
Cubic Centimeters to Gigalitres (cm3 to Gl) | 1e-12 |
Cubic Centimeters to Cubic meters (cm3 to m3) | 0.000001 |
Cubic Centimeters to Cubic kilometers (cm3 to km3) | 1e-15 |
Cubic Centimeters to Kryddmått (cm3 to krm) | 1 |
Cubic Centimeters to Teskedar (cm3 to tsk) | 0.2 |
Cubic Centimeters to Matskedar (cm3 to msk) | 0.06666666666667 |
Cubic Centimeters to Kaffekoppar (cm3 to kkp) | 0.006666666666667 |
Cubic Centimeters to Glas (cm3 to glas) | 0.005 |
Cubic Centimeters to Kannor (cm3 to kanna) | 0.0003821169277799 |
Cubic Centimeters to Teaspoons (cm3 to tsp) | 0.2028841356 |
Cubic Centimeters to Tablespoons (cm3 to Tbs) | 0.0676280452 |
Cubic Centimeters to Cubic inches (cm3 to in3) | 0.06102402519355 |
Cubic Centimeters to Fluid Ounces (cm3 to fl-oz) | 0.0338140226 |
Cubic Centimeters to Cups (cm3 to cup) | 0.004226752825 |
Cubic Centimeters to Pints (cm3 to pnt) | 0.0021133764125 |
Cubic Centimeters to Quarts (cm3 to qt) | 0.00105668820625 |
Cubic Centimeters to Gallons (cm3 to gal) | 0.0002641720515625 |
Cubic Centimeters to Cubic feet (cm3 to ft3) | 0.0000353146848166 |
Cubic Centimeters to Cubic yards (cm3 to yd3) | 0.000001307949366991 |