Unit Converter: Length, Area, Volume and Weight

US Flag
CASAPLORERTrusted & Transparent
Length Converter
Length
Area
Volume
Weight

Convert Centimeter to Inch

=

What You Should Know

  • Different measurement systems have different units of measurement, but it is possible to convert between them precisely.
  • Length, area and volume units are closely related between each other, and it is possible to find conversion values logically.
  • Each measurement is important to understand for various projects such as finishing your basement or upgrading your loft apartment.

What This Unit Converter Does

This unit converter is designed to provide conversion estimates based on the definition of the units. It can calculate four measurement categories: length, area, volume, and weight. It provides a unit conversion equation between the chosen units and the steps to calculate the result. Most of the units available are taken from one of the following measurement systems:

Measurement SystemInternation Abbreviation
Internation System of UnitsSI
Metric System
Non-Standard Units of MeasurementNon-SI
Imperial SystemImp
United States Customary SystemUSC/USCS

How to Convert Units

Different measurement systems require a certain bridge to convert between each other accurately. It is easy to convert kilograms into grams and pounds into ounces, but it is not as simple to convert grams and ounces because the units are taken from different measurement systems. It requires a certain understanding of definitions of different units for the most precise conversion. The current practice for converting units from one system to another is through metrication.

Metrication refers to the practice of converting units to a metric or International System of Units. An International System of Units has been growing in its popularity due to its objectivity and simplicity when it comes to conversion between different units. While other popular systems such as Imperial and US Customary are tied to subjective metrics that may change over time, the International System of Units is tied to the speed of light traveling in the vacuum. A significant characteristic of the speed of light is that it is constant when traveling in a vacuum. Because of this characteristic, the SI measurement system is said to be objective.

The easiest way to understand how different measurement categories and systems are related to each other is to start with units of length.

Units of Length

Length is a measurement of distance. It is the most basic measurement because it quantifies a one-dimensional extent in space. It is useful to understand how to convert between different length units because it might be required in certain projects such as calculating stair dimensions. Unlike length, other measurements such as area and volume are defined by units of length. Because other measurements are defined by length, it is important to understand how different units of length are related to each other.

International System of Units (SI)

The International System of Units, also known as the metric system, contains units such as a meter, a kilometer, a millimeter, etc. The root word of each metric used in SI is meter, and it is considered a base unit of the system.

“A meter is defined by the length of the path traveled by light in a vacuum in 1/299,792,458 of a second.”

The rest of the units presented in SI are derived from the base unit - Meter. In fact, the prefixes of different units in SI refer to the factor by which a meter must be scaled to get the result. For example, a kilometer has the prefix kilo, which is derived from the Greek language and means Thousand. A kilometer means a thousand meters, and it is equal to 1,000 meters. The following table shows how different units of measurement are derived in the International System of Units.

SymbolUnit NamePrefixPrefix MeaningLength in Meters
YmYottameterYottaSeptillion1024
ZmZettameterZettaSextillion1021
EmExameterExaQuintillion1018
PmPetameterPetaQuadrillion1015
TmTerameterTeraTrillion1012
GmGigameterGigaBillion109
MmMegameterMegaMillion106
kmKilometerKiloThousand103
hmHectometerHectoHundred102
damDekameterDekaTen101
mMeter1
dmDecimeterDeciTenth10-1
cmCentimeterCentiHundredth10-2
mmMillimeterMilliThousandth10-3
μmMicrometerMicroMillionth10-6
nmNanometerNanoBillionth10-9
pmPicometerPicoTrillionth10-12
fmFemtometerFemtoQuadrillionth10-15
amAttometerAttoQuintillionth10-18
zmZeptometerZeptoSextillionth10-21
ymYoctometerYoctoSeptillionth10-24

As shown in the table above, different scales of a meter follow a similar structure. Every scale represents a certain exponent of 10 by which a meter is multiplied. Knowing what prefix refers to what exponent provides a simple and versatile way to convert between the units.

A meter is defined as an objective measure that is constant at all times. Using a definition of a meter, we can look at other systems of measurement and find a precise definition for each unit.

Imperial System

The Imperial system was first defined in 1824 by the British Weights and Measures Act. The most commonly used measures of the imperial system are inch (in.), foot (ft.), yard (yd.) and mile (mi.). Every measurement in the system had a clear relation to each other. For example, 1 foot was defined as 12 inches, and 1 yard was equal to 3 feet. The problem was that it did not have a clear conversion between imperial and metric systems. Because of that, the International Yard and Pound Agreement of 1959 defined 1 Yard = 0.9144 Meters.

It is important to note that there is an Imperial and a US Customary systems of measurement. Both systems have similar units, but they have slightly different definitions for units of area and volume. On the other hand, their length units are defined in the same way, which is reflected by the Imperial System.

Using the definition of a yard, it is possible to convert between Imperial and SI units of measurement precisely. The following table provides the definition of each Imperial unit of length and its conversion to SI units.

SymbolUnit NameDefinitionLength in Meters
ydYard0.9144 Meters0.91440
ftFoot1/3 yd.0.30480
inInch1/12 ft.0.02540
th / milThou / Mil1/1000 in.0.00003
hHand4 in.0.10160
chChain22 yd.20.11680
furFurlong10 ch.201.16800
miMile8 fur.1609.34400
leaLeague3 mi.4828.03200
Maritime Units
ftmFathom6 ft.1.82880
Cable100 ftm.182.88000
nmiNautical Mile10 Cables1828.80000
Survey Units
Link66/100 ft.0.20117
rdRod25 Links5.02920

Units of Area

Units of area are widely used in various fields, and people deal with area units all the time. It can be used to calculate the square footage of a property, or even estimate how much roofing material you need to buy.

After understanding how length is being measured and what units measure length, we can start talking about the measurement units of area. Area is a two-dimensional measure that refers to the amount of space within the perimeter. It is important to note that measurement units of area refer to square shaped units. Area is measured using two lengths that are multiplied between each other. For example, a rectangle with a length of 2 meters and a width of 3 meters has an area of 2m × 3m = 6m2. In this case, the length and width are both measures of length while the multiplication result is the measure of area. Unlike measures of length, measures of area are represented by square units such as square meters (m2) and square inches (in2). They are represented as square units because each measurement of area is simply two measurements of length multiplied by each other.

The fact that an area is simply a multiplication of two lengths provides an insight into how to find a relationship between different measurement systems based on the definitions of length. We know that 1 Yard = 0.9144 Meters. This means that a square with a side length of 1 Yard is equal to

The fact that an area is simply a multiplication of two lengths provides an insight into how to find a relationship between different measurement systems based on the definitions of length. We know that 1 Yard = 0.9144 Meters. This means that a square with a side length of 1 Yard is equal to . Since 1 Yard = 0.9144 Meters, we can substitute the length in yards to length in meters and find how many meters is 1 Square Yard:

Using the definition of an area and the definition of length for different units, we can derive precise formulas for conversion between different units and different systems.

International System of Units (SI)

It is very easy to convert different units of area within the International System of Units. Using the definition of an area and the way it is calculated, we can easily calculate the area of each SI unit in meters. The following table provides the measures of area in square meters for each SI unit.

SI Measurement Units of Area
SymbolUnit NameArea in Meters
Ym2Square Yottameter1048
Zm2Square Zettameter1042
Em2Square Exameter1036
Pm2Square Petameter1030
Tm2Square Terameter1024
Gm2Square Gigameter1018
Mm2Square Megameter1012
km2Square Kilometer106
hm2Square Hectometer104
dam2Square Dekameter102
m2Square Meter1
dm2Square Decimeter10-2
cm2Square Centimeter10-4
mm2Square Millimeter10-6
μm2Square Micrometer10-12
nm2Square Nanometer10-18
pm2Square Picometer10-24
fm2Square Femtometer10-30
am2Square Attometer10-36
zm2Square Zeptometer10-42
ym2Square Yoctometer10-48

Note that the Area in Meters for each unit is simply the Length in Meters squared for each respective unit.

There are a few additional metric units that appear only in the relation to areas. This means that they are derived using SI units, but they are not generally accepted. These units are shown in the following table.

Metric Meaurement Units of Area
SymbolUnit NameArea in Square Meters
haHectare10,000
daaDecare1,000
aAre100

Imperial System

The approach for converting imperial units of area is the same as the approach for SI units. Since every area unit is simply a square of the length of the respective unit, we can compile a table to define the area of each imperial unit.

Imperial Measurement Units of Area
SymbolUnit NameArea by DefinitionArea in Square Meters
Sq. ydSquare Yard0.83612736 sq. m.0.83612736
Sq. ftSquare Foot1/9 sq. yd.0.09290304
Sq. inSquare Inch1/144 sq. ft.0.00064516
Sq. thSquare Thou Or Mil1/1,000,000 sq. in.0.00000000064516
Sq. hSquare Hand16 sq. in.0.01032256
Sq. chSquare Chain484 sq. yd.404.6856422
Sq. furSquare Furlong100 sq. ch.40468.56422
Sq. miSquare Mile64 sq. fur.2589988.11
Sq. leaSquare League9 sq. mi.23309892.99
Maritime Units
Sq. ftmSquare Fathom36 sq. ft.3.34450944
Square Cable10000 sq. ftm.33445.0944
Sq. nmiSquare Nautical Mile100 Square Cables3344509.44
Survey Units
Square Link4356/10,000 sq. ft.0.04046856422
Square Perch625 Square Links25.29285264

In addition to the area measures derived from the units of length, there are some measures in the Imperial System that are defined specifically as an area measurement. This means that there is no length measurement associated with these units. Instead, the definition of these measurements rely on a combination of different length measurements.

Unit NameArea by DefinitionArea in Sqaure Meters
Perch1 rd × 1 rd25.29285264
Rood1 fur. × 1 rd.1011.714106
Acre1 fur. × 1 ch.4046.856422
Section640 Acres2589988.11
Survey Township36 Sections93239571.97

Area measurements are widely used in almost every field, and because of that, there are certain units that exist that do not fall under SI and Imperial measurement systems. These units are referred to as Non-SI Units, and even though they are not as popular, it is still worth mentioning them.

Non-SI Units of Area

The units of measurement that are either obsolete or have very specific use cases, may be classified as Non-SI Units. Some of the units have a clear definition that allows us to convert them, but others may not have a clear definition because it simply did not survive long enough. The following list provides a few of the most popular as well as obsolete Non-SI units of measurement. This list is not exhaustive as there are many other measurements that have been used by different nations and in different fields over time.

Unit NameArea by DefinitionArea in Square Meters
American Football Field100 yd. × 160 ft.4459.34592
Barn10-28 sq. m.10-28
Brass100 sq. ft.9.290304
Morgen0.856532 ha8565.32

After understanding how area measurements are derived from different length measurements and how conversion between length and area are related, we can talk about volume measurements.

Units of Volume

Understanding how to convert volume is also an important skill for some projects. Certain construction projects require volume calculations. For example, building a house may require you to calculate how much concrete you need, which has to be done using volume.

Volume conversion follows the same logic as area, but unlike area, volume attributes to 3-dimensional shapes. This means that the shapes that have volume, also have 3 lengths. These 3 lengths are usually multiplied to find the volume, but some volume metrics, such as a barrel, are not defined by a cubic shape. Because of the inconsistency in definitions, some volume metrics are more difficult to calculate than the others.

An example of a volume metric and how it can be converted into another metric is a cube with a side length of 1 Yard. Using the logic that the volume can be calculated by multiplying three lengths and the fact that 1 Yard = 0.9144 Meters, we can perform the following calculations to find the conversion between a cubic meter and a cubic yard:

These calculations provide an example of how other units can be found using the definitions of length units and volume. Just as with length and area, the best way to start is with SI units and gradually move to other measurement systems.

International System of Units (SI)

Conversion between volume SI units is very similar to conversion between area SI units because the process follows the same logic. The only difference is that volume measures have to be cubed instead of squared. The following table provides the measures of volume in cubic meters for each SI unit.

SI Measurement Units of Volume
SymbolUnit NameVolume in Cubic Meters (m3)
Ym3Cubic Yottameter1072
Zm3Cubic Zettameter1063
Em3Cubic Exameter1054
Pm3Cubic Petameter1045
Tm3Cubic Terameter1036
Gm3Cubic Gigameter1027
Mm3Cubic Megameter1018
km3Cubic Kilometer109
hm3Cubic Hectometer106
dam3Cubic Dekameter103
m3Cubic Meter1
dm3Cubic Decimeter10-3
cm3Cubic Centimeter10-6
mm3Cubic Millimeter10-9
μm3Cubic Micrometer10-18
nm3Cubic Nanometer10-27
pm3Cubic Picometer10-36
fm3Cubic Femtometer10-45
am3Cubic Attometer10-54
zm3Cubic Zeptometer10-63
ym3Cubic Yoctometer10-72

Additionally, there are certain metric units that are often used in day-to-day life. These units have different names, but they still follow the same logic as the International System of Units. The base unit of a metric system is called a Liter, and it is defined as follows: 1L = 1000cm3. The following table provides metric values of volume.

Metric Measurement Units of Volume
SymbolUnit NameVolume in Cubic Meters (m3)
YlYottaliter1021
ZlZettaliter1018
ElExaliter1015
PlPetaliter1012
TlTeraliter109
GlGigaliter106
MlMegaliter103
klKiloliter100
hlHectoliter10-1
dalDecaliter10-2
lLiter10-3
dlDeciliter10-4
clCentiliter10-5
mlMilliliter10-6
μlMicroliter10-9
nlNanoliter10-12
plPicoliter10-15
flFemtoliter10-18
alAttoliter10-21
zlZeptoliter10-24
ylYoctoliter10-27

In the example above, we have calculated the exact conversion between cubic yards and cubic meters, so now it is possible to find the conversion values for each unit presented in the Imperial System of Measurement.

Imperial System

Imperial system is the measurement system that has been used in Britain for a long time. It is important to note that there is a US Customary system of units, and it has similar units as the Imperial System, but they have different values. Because of that, it is important to have a clear distinction between the two systems and their units. Additionally, the volume metrics used in a day-to-day life are different from the metrics used to calculate length and area. For example, widely used volume metrics in imperial system are fluid ounce (fl. oz.), pint (pt.) and gallon (gal.). The Weights and Measures Act defined 1 gallon = 4.54609 liters, which allows us to convert between imperial and SI units precisely. The following table provides the names and definitions of the most used imperial volume units.

Most Used Imperial Measurement Units of Volume
SymbolUnit NameVolume by DefinitionVolume in Liters (L)
fl ozFluid Ounce1 fl. oz.0.00002774713135
giGill5 fl. oz.0.004439541016
ptPint20 fl. oz.0.1420653125
qtQuart40 fl. oz.1.1365225
galGallon160 fl. oz.4.54609

Even though the table above provides imperial volume units that are used in day-to-day life, the other units such as cubic inch and cubic yard still exist and are used in certain fields. They are calculated the same way SI volume units are calculated, and given that 1 Yard = 0.9144 Meters, it is possible to calculate them precisely too.

Other Imperial Measurement Units of Volume
cu. ydCubic Yard0.764554857984 Cubic Meters0.764554858
cu. ftCubic Foot1/27 cu. yd.0.02831684659
cu. inCubic Inch1/1728 cu. ft.0.000016387064
cu. thCubic Thou Or Mil1/1000000000 cu. in.0.000000000000016
cu. hCubic Hand64 cu. in.0.001048772096
cu. chCubic Chain10648 cu. yd.8140.980128
cu. furCubic Furlong1000 cu. ch.8140980.128
cu. miCubic Mile512 cu. fur.4168181825
cu. leaCubic League27 cu. mi.112540909287
Maritime Units
cu. ftmCubic Fathom216 cu. ft.6.116438864
Cubic Cable1000000 cu. ftm.6116438.864
cu. nmiCubic Nautical Mile1000 Cubic Cables6116438864
Survey Units
Cubic Link287496/1000000 cu. ft.0.008140980128
cu. rdCubic Rod15625 Cubic Links127.2028145

The US has a different system that has similar units to the imperial system, but they are measured differently.

US Customary System

The US Customary system is widely used in the United States for production and manufacturing purposes. Even though other fields use a metric system, it is important to talk about US Customary units because households face it every day.

The US Customary system is consistent with the imperial system for length and area units. Even volume units that are derived from length units such as cubic inch (in3) and cubic foot (ft3), are consistent with the imperial system. The difference between the units occurs in other volume metrics that are used in day-to-day life. Specifically, 1 US gallon = 231 Cubic Inches. Using this information, we can convert precisely each of the following units into a metric system.

US Customary Measurements of Volume
SymbolUnit NameVolume by DefinitionVolume in Cubic Liters (L)
min.Minim1 min.0.00002240418906
US fl. dr.US Fluid Dram60 min.0.001344251344
tsp.Teaspoon80 min.0.001792335125
tbsp.Tablespoon3 tsp.0.005377005375
US fl. oz.US Fluid Ounce2 tbsp.0.01075401075
jig.US Shot1.5 US fl. oz.0.01613101613
US gi.US Gill4 US fl. oz.0.1182941183
c.US Cup2 US gi.0.2365882365
US pt.US Pint2 c.0.473176473
US qt.US Quart2 US pt.0.946352946
pot.US Pottle2 US qt.1.892705892
US gal.US Gallon4 US qt. or 231 cu. in.3.785411784
US bbl.US Barrel31.5 US gal.119.2404712
bbl.Oil Barrel42 US gal.158.9872949
Hogshead1.5 oil barrels or 524.7 lb. of water238.4809424

This table makes it clear that the same units from US customary and imperial systems may have a different definition. Because of the differences in their definitions, the US gallon is equal to 3.79 liters while the imperial gallon is equal to 4.55 liters. Before calculating the volume, it is important to understand what measurement units need to be used.

Units of Weight

The last type of units this calculator can process is the units for weight. Just as with all the units discussed previously, the easiest way to understand how different units are related is to start with an international system of units.

International System of Units (SI)

This system takes a gram as the base measure and derives all the other units based on the measure of the gram. Before we get into deriving all the other units, we should look at the definition of a gram.

A gram is defined as “the absolute weight of a volume of pure water equal to the cubic centimeter at the temperature of melting ice.”

All the other units are derived from the gram in a similar way as different SI units of length are derived. The prefix of each unit is associated with a certain multiple, which represents the number of grams in a respective unit. The following table contains SI units of volume.

SI Measurement Units of Weight
SymbolUnit NameWeight in Grams (g.)
YgYottagram1024 g.
ZgZettagram1021 g.
EgExagram1018 g.
PgPetagram1015 g.
TgTeragram1012 g.
GgGigagram109 g.
MgMegagram106 g.
kgKilogram103 g.
hgHectogram102 g.
dagDekagram101 g.
gGram100 g.
dgDecigram10-1 g.
cgCentigram10-2 g.
mgMilligram10-3 g.
μgMicrogram10-6 g.
ngNanogram10-9 g.
pgPicogram10-12 g.
fgFemtogram10-15 g.
agAttogram10-18 g.
zgZeptogram10-21 g.
ygYoctogram10-24 g.

US Customary System

This system mostly uses ounces (oz.), pounds (lb.) and US tons. There is an agreement between the US, UK and other english-speaking countries to make 1 lb = 453.59237 g. This allows us to convert between the US Customary units and SI units precisely.

US Customary Measurement Units of Weight
SymbolUnit NameWeight by DefinitionWeight in Grams (g.)
grGrain1⁄7000 lb.0.06479891
drDram27+11⁄32 gr.1.771845195
ozOunce16 dr.28.34952313
lbPound16 oz.453.59237
cwtUs Hundredweight100 lb.45359.237
US tTon2000 lb.907184.74
Any calculators or content on this page is provided for general information purposes only. Casaplorer does not guarantee the accuracy of information shown and is not responsible for any consequences of its use.