Symbolic algebra
ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations
Inputs data - value and unit, which we're going to convert#
Value | ||
Unit | ||
Decimals |
(cubic meter) is equal to:#
SI (metric)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
cubic yottameter | Show source | Ym³ | Show source | - | Derived volume unit in SI system. One cubic yottameter is equals to one billion of vigintillions cubic metres. | Show source |
cubic zettameter | Show source | Zm³ | Show source | - | Derived volume unit in SI system. One cubic zettameter is equals to one vigintillion cubic metres. | Show source |
cubic exameter | Show source | Em³ | Show source | - | Derived volume unit in SI system. One cubic exameter is equals to one septendecillion cubic metres. | Show source |
cubic petameter | Show source | Pm³ | Show source | - | Derived volume unit in SI system. One cubic petameter is equals to one quattuordecillion cubic metres. | Show source |
cubic terameter | Show source | Tm³ | Show source | - | Derived volume unit in SI system. One cubic terameter is equals to one undecillion cubic metres. | Show source |
cubic gigameter | Show source | Gm³ | Show source | - | Derived volume unit in SI system. One cubic gigameter is equals to one octillion cubic metres. | Show source |
cubic megameter | Show source | Mm³ | Show source | - | Derived volume unit in SI system. One cubic megameter is equals to one quintillion cubic metres. | Show source |
cubic kilometer | Show source | km³ | Show source | - | Derived volume unit in SI system. One cubic kilometer is equals to one billion cubic metres. | Show source |
cubic hektometer | Show source | hm³ | Show source | - | Derived volume unit in SI system. One cubic hectometer is equals to one million cubic metres. | Show source |
cubic meter | Show source | m³ | Show source | - | Base volume unit in SI system. A cube with edge of one meter has volume equal to one cubic meter. | Show source |
cubic decimeter | Show source | dm³ | Show source | - | Derived volume unit in SI system. One cubic decimeter is equals to one thousandth of a cubic meter. | Show source |
cubic centimeter | Show source | cm³ | Show source | - | Derived volume unit in SI system. One cubic centimeter is equals to one millionth of a cubic meter. | Show source |
cubic milimeter | Show source | mm³ | Show source | - | Derived volume unit in SI system. One cubic milimeter is equals to one billionth of a cubic meter. | Show source |
cubic micrometer | Show source | µm³ | Show source | - | Derived volume unit in SI system. One cubic micrometer is equals to one quintillionth of a cubic meter. | Show source |
cubic nanometer | Show source | nm³ | Show source | - | Derived volume unit in SI system. One cubic nanometer is equals to one octillionth of a cubic meter. | Show source |
cubic picometer | Show source | pm³ | Show source | - | Derived volume unit in SI system. One cubic picometer is equals to one undecillionth of a cubic meter. | Show source |
cubic femtometer | Show source | fm³ | Show source | - | Derived volume unit in SI system. One cubic femtometer is equals to one quattuordecillionth of a cubic meter. | Show source |
cubic attometer | Show source | am³ | Show source | - | Derived volume unit in SI system. One cubic attometer is equals to one septendecillionth of a cubic meter. | Show source |
cubic zeptometer | Show source | zm³ | Show source | - | Derived volume unit in SI system. One cubic zeptometer is equals to one vigintillionth of a cubic meter. | Show source |
cubic yoctometer | Show source | ym³ | Show source | - | Derived volume unit in SI system. One cubic yoctometer is equals to one tresvigintillionth of a cubic meter. | Show source |
metric litres#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
gigalitre | Show source | Gl | Show source | - | One billion litres or one million cubic metres. | Show source |
megalitre | Show source | Ml | Show source | - | One million litres or one thousand cubic metres. | Show source |
kilolitre | Show source | kl | Show source | - | One thousand litres or one cubic meter. | Show source |
hectolitre | Show source | hl | Show source | - | One hundred litres or one tenth of litre. | Show source |
litre | Show source | l | Show source | - | Equivalent of one cubic decimeter. | Show source |
decilitre | Show source | dl | Show source | - | One tenth of litre or one ten-thousandth of cubic metre. | Show source |
centilitre | Show source | cl | Show source | - | One hundredth of litre or one hundred thousandth of cubic metre. | Show source |
mililitre | Show source | ml | Show source | - | One thousandth of litre or one millionth of cubic meter. | Show source |
microlitre | Show source | µl | Show source | - | One millionth of litre or one billionth of meter. | Show source |
nanolitre | Show source | nl | Show source | - | One billionth of litre or one trillionth of cubic meter. | Show source |
picolitre | Show source | pl | Show source | - | One trillionth of litre or one quadrillionth of cubic meter. | Show source |
femtolitre | Show source | fl | Show source | - | One quadrillionth of litre or one quintillionth of cubic meter. | Show source |
attolitre | Show source | al | Show source | - | One quintillionth of liter or one sextillionth of cubic meter. | Show source |
Chemistry and pharmacy#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
lambda | Show source | λ | Show source | - | A non-SI volume unit historically used in chemistry and in law for measuring volume. Lambda was introduced by the International Bureau of Weights and Measures (IBWM) in 1880. One lambda is equal to one microlitre. | Show source |
drop (metric) | Show source | - | Show source | - | Metric drop is an approximated volume unit used to measure volume of liquids. One mililitre (1 ml) is approximately twelve metric drops (12). | Show source |
drop (medical) | Show source | - | Show source | - | Medical drop is an approximated volume unit used in medicine to measure amount of liquid drugs. One mililitre is approximately divided into two hundred (200) of medical drops. | Show source |
cubic angstroms | Show source | ų | Show source | - | A volume unit used in chemistry and physics to describe phenomena occurring at the atomic scale. A cubic with one angstrom to one angstrom edges has an volume of one cubic angstrom. One cubic angstrom is equal to one hundred-quintillionth of a cubic meter. | Show source |
US & imperial (common)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
cubic mile | Show source | cu mi | Show source | - | Cubic mile is a volume unit based on the length unit mile. The cube with diameters 1×1×1 miles has volume of one cubic mile. | Show source |
acre-foot | Show source | ac ft | Show source | - | Acre-foot is a volume unit used in the USA to measure large water resources. Volume of one acre-foot (1 ac ft) is sufficient to cover an area of one acre (1 ac) up to one feet depth (1 ft), which equals approximately an 8 lane swimming pool, 25 meter long, 16 m wide and 3 m deep. | Show source |
acre-inch | Show source | ac in | Show source | - | Acre-inch is a volume unit used in the USA to measure large water resources. Volume of one acre-inch (1 ac in) is sufficient to cover an area of one acre (1 ac) up to one inch depth (1 in). One acre-foot is equal to one twelfth of an acre-foot (1/12 ac ft). | Show source |
cubic fathom | Show source | cu fm | Show source | - | Cubic fathom is a volume unit based on the length unit fathom. The cube with diameters 1×1×1 fatchoms has volume of one cubic fathom. | Show source |
cubic foot | Show source | cu ft | Show source | - | Cubic foot is a volume unit based on the length unit foot. The cube with diameters 1×1×1 feet has volume of one cubic foot. | Show source |
cubic yard | Show source | cu yd | Show source | - | Cubic yard is a volume unit based on the length unit yard. The cube with diameters 1×1×1 yards has volume of one cubic yard. | Show source |
perch | Show source | per | Show source | - | Equivalent to volume of perch with dimensions 16½ × 1½ × 1 feet or sixteen cubic feet. | Show source |
cubic inch | Show source | cu in | Show source | - | Cubic inch is a volume unit based on the length unit inch. The cube with diameters 1×1×1 inches has volume of one cubic inch. | Show source |
US Liquid (fluid)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
hogshead | Show source | hhd | Show source | - | Equivalent to sixty three gallons US (63 gal). | Show source |
barrel (petroleum) | Show source | bl, bbl | Show source | - | Volume unit used mainly in oil industry. One US petrol barrel is equal to fourty two US gallons (42 gal). | Show source |
barrel | Show source | fl bl | Show source | - | The half of hogshead (½ hhd) or three fourth of petrol barrel (¾ bbl). | Show source |
gallon | Show source | gal(US) | Show source | - | Volume unit used in USA to measure liquids volume. One US gallon (liquid) is equal to 231 cubic inches. | Show source |
fifth | Show source | - | Show source | - | One fifth of US gallon. See the gallon unit for more. | Show source |
quart | Show source | qt | Show source | - | One fourth of US gallon. See the gallon unit for more. | Show source |
pint | Show source | pt | Show source | - | One eight of US gallon. See the gallon unit for more. | Show source |
gill | Show source | gi(US) | Show source | - | Equivalent to four US fluid ounces. See the fluid once unit for more. | Show source |
fluid once | Show source | US fl oz | Show source | - | Volume unit used in USA to measure liquids volume. It's also used as base for other liquid-volume units e.g. one gill is five fluid ounces, one cup is two gills etc. One british fluid ounce is equal to 28.4130625 mililitres. | Show source |
fluid dram, fluidram | Show source | fl dr | Show source | - | Equivalent to one eighth of fluid ounce. See fluid ounce unit for more. | Show source |
jigger | Show source | - | Show source | - | Equivalent to one and a half of shot or five hundred fourty drops (540 gtt). See shot unit for more. | Show source |
shot | Show source | - | Show source | - | Equivalent to one tenth of fluid ounce. One fluid ounce is divided into ten shots. See fluid ounce unit for more. | Show source |
pony | Show source | - | Show source | - | Equivalent to two hundred seventy drops (270 gtt). See drop unit for more. | Show source |
pinch | Show source | - | Show source | - | Equivalent to one US minim. See minim unit for more. | Show source |
minim | Show source | min | Show source | - | Equivalent to 1/480 of US fluid ounce. See fluid ounce unit for more. | Show source |
dash | Show source | - | Show source | - | Equivalent to 1/960 of US fluid ounce. See fluid ounce unit for more. | Show source |
drop | Show source | gtt | Show source | - | Equivalent to 1/3600 of US fluid ounce. See fluid ounce unit for more. | Show source |
drop (alt) | Show source | gtt | Show source | - | Equivalent to 1/456 of US fluid ounce. See fluid ounce unit for more. | Show source |
US Dry#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
wey | Show source | - | Show source | - | Equivalent to three hundred twenty dry US gallons (320 gal). | Show source |
seam | Show source | - | Show source | - | Equivalent to sixty four dry US gallons (64 gal). | Show source |
barrel | Show source | bl | Show source | - | Equivalent to one hundred five dry US quarters (105 qt). | Show source |
strike | Show source | - | Show source | - | Equivalent to twenty four dry US gallons (24 gal). | Show source |
sack | Show source | - | Show source | - | Equivalent to sixteen dry US gallons (16 gal). | Show source |
bushel (heaped) | Show source | bu | Show source | - | Ten US gallons for dry substances. See the gallon unit for more. | Show source |
bushel (level) | Show source | bu (lvl) | Show source | - | Eight US gallons for dry substances. See the gallon unit for more. | Show source |
firkin | Show source | - | Show source | - | Equivalent to nine US gallons (9 gal). | Show source |
peck | Show source | pk | Show source | - | Two US gallons for dry substances. See the gallon unit for more. | Show source |
gallon | Show source | gal | Show source | - | Volume unit used in USA to measure dry-volume. One US gallon (dry) is exactly equal to 4.40488377086 litres. | Show source |
quart | Show source | qt | Show source | - | One fourth of US gallon for dry substances. See the gallon unit for more. | Show source |
pint | Show source | pt | Show source | - | One eight of US gallon for dry substances. See the gallon unit for more. | Show source |
Imperial (British)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
last | Show source | - | Show source | - | The equivalent to eighty UK bushels (80 bu). See the bushel unit for more. | Show source |
water ton | Show source | - | Show source | - | Imperial volume unit used in the past to measure petroleum products. One water ton is equal to two hundred twenty four british gallons (224 gal). | Show source |
hogshead | Show source | hhd | Show source | - | Equivalent to seventy two UK gallons (72 gal). See the gallon unit for more. | Show source |
seam, pail | Show source | - | Show source | - | Equivalent to sixty four UK gallons (64 gal). See the gallon unit for more. | Show source |
barrel | Show source | bl | Show source | - | Thirty six UK gallons (36 gal). See the gallon unit for more. | Show source |
coomb | Show source | - | Show source | - | The equivalent to four UK bushels (4 bu). See the bushel unit for more. | Show source |
sack, bag | Show source | bag | Show source | - | The equivalent to three UK bushels (3 bu). See the bushel unit for more. | Show source |
kilderkin | Show source | - | Show source | - | Eighteen UK gallons (18 gal). See the gallon unit for more. | Show source |
strike | Show source | - | Show source | - | The equivalent to two UK bushels (2 bu). See the bushel unit for more. | Show source |
bushel | Show source | bu | Show source | - | Eight UK gallons. See the gallon unit for more. | Show source |
bucket | Show source | bkt | Show source | - | Four UK gallons. See the gallon unit for more. | Show source |
peck | Show source | pk | Show source | - | Two UK gallons. See the gallon unit for more. | Show source |
gallon | Show source | gal | Show source | - | Volume unit used in, amount other, in UK to measure liquids volume. One imperial gallon is equal to 160 fluid ounces. See the fluid once unit for more. | Show source |
pottle, quartern | Show source | - | Show source | - | Half of UK gallons. See the gallon unit for more. | Show source |
quart | Show source | qt | Show source | - | One fourth of UK gallon. See the gallon unit for more. | Show source |
pint | Show source | pt | Show source | - | One eight of UK gallon. See the gallon unit for more. | Show source |
fluid once | Show source | fl oz | Show source | - | Imperial volume unit used to measure liquids volume. It's also used as minimal base for other liquid-volume units e.g. one gill is five fluid ounces, one cup is two gills etc. One british fluid ounce is equal to 28.413 mililitres. | Show source |
gill, noggin | Show source | gi | Show source | - | Equivalent to five british fluid ounces. See the fluid once unit for more. | Show source |
fluid drachm | Show source | fl dr | Show source | - | Equivalent to 1/80 of imperial fluid ounce. See fluid ounce unit for more. | Show source |
fluid scruple | Show source | fl s | Show source | - | Equivalent to 1/24 of imperial fluid ounce. See fluid ounce unit for more. | Show source |
pinch | Show source | - | Show source | - | Equivalent to 1/192 of imperial gill. See gill unit for more. | Show source |
dash | Show source | - | Show source | - | Equivalent to 1/960 of imperial fluid ounce. See fluid ounce unit for more. | Show source |
drop | Show source | gtt | Show source | - | Equivalent to 1/3600 of imperial fluid ounce. See fluid ounce unit for more. | Show source |
drop (alt) | Show source | gtt | Show source | - | Equivalent to 1/1824 of imperial gill. See gill unit for more. | Show source |
minim | Show source | min | Show source | - | Equivalent to 1/480 of imperial fluid ounce. See fluid ounce unit for more. | Show source |
Logistics#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
register ton | Show source | RT | Show source | - | Volume unit used to determine the registered capacity of merchant ships. One register ton corresponds to one hundred cubic feet (100 cu ft). | Show source |
load unit | Show source | - | Show source | - | Equivalent to fivety cubic feet. | Show source |
freight ton | Show source | FT | Show source | - | Volume unit used to calculate freicht charge. One freight charge is equal to thirty cubic feet (40 cu ft). Known also as measurement ton. | Show source |
displacement ton | Show source | DT | Show source | - | Volume unit used to measure displacement of ships. One displacement ton is approximately equal to the volume occupied by one ton of sea water. Defined as thirty five cubic feet (35 cu ft). | Show source |
Wood#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
cord (firewood) | Show source | - | Show source | - | A volume unit used in USA and Canada to measure amount of firewood. One cord of firewood corresponds to a wood stack 8×4×4 foot. | Show source |
cord-foot | Show source | - | Show source | - | Cord-foot is a volume unit used in USA and Canada to measure amount of wood. One cord-foot corresponds to a wood stack 4×4×1 foot. | Show source |
timber foot | Show source | - | Show source | - | Equivalent to one cubic foot. | Show source |
board-foot | Show source | fbm | Show source | - | Board-foot is an volume unit used in the USA and Canada to measure volume of wood. One board-foot (1 fbm) corresponds to the volume of cuboid with base area of one square foot (1 sq ft) and one inch height (1 in). | Show source |
Cooking (Canada)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Cup (Canadian) | Show source | c | Show source | - | Equivalent to eight UK fluid ounces. See fluid ounce unit for more. | Show source |
Tablespoon (Canadian) | Show source | tbsp | Show source | - | Equivalent to half of one UK fluid ounce. See fluid ounce unit for more. | Show source |
Teaspoon (Canadian) | Show source | tsp | Show source | - | Equivalent to 1/6 of UK fluid ounce. See fluid ounce unit for more. | Show source |
Cooking (Imperial)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Cup (Imp) | Show source | c | Show source | - | Equivalent to ten british fluid ounces (10 fl oz). See the fluid once unit for more. | Show source |
Breakfast cup (Imp) | Show source | - | Show source | - | Equivalent to one hundred british fluid ounces (100 fl oz). See the fluid once unit for more. | Show source |
Tablespoon (Imp) | Show source | tbsp | Show source | - | Equivalent to 5/8 of UK fluid ounce. See fluid ounce unit for more. | Show source |
Teaspoon (Imp) | Show source | tsp | Show source | - | Equivalent to 1/24 of UK fluid ounce. See fluid ounce unit for more. | Show source |
Dessert spoon (Imp) | Show source | - | Show source | - | Equivalent to 1/12 of imperial gill. See gill unit for more. | Show source |
Cooking (U.S.)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Cup (US) | Show source | c | Show source | - | Equivalent to eight US fluid ounces. See fluid ounce unit for more. | Show source |
Tablespoon (US) | Show source | tbsp | Show source | - | Equivalent to half of one US fluid ounce. See fluid ounce unit for more. | Show source |
Teaspoon (US) | Show source | tsp | Show source | - | Equivalent to 1/6 of US fluid ounce. See fluid ounce unit for more. | Show source |
Cooking (metric)#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Cup (Metric) | Show source | - | Show source | - | Equialent to two hundred fivety mililitres. | Show source |
Tablespoon (Metric) | Show source | - | Show source | - | Equialent to fiveten mililitres. | Show source |
Teaspoon (Metric) | Show source | - | Show source | - | Equialent to five mililitres. | Show source |
Wine and beer#
Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
tun | Show source | - | Show source | - | Imperial volume unit. One wine tun approximately equated to 54 imperial gallons. | Show source |
butt, pipe | Show source | - | Show source | - | Imperial volume unit. One wine butt approximately equated to 108 imperial gallons. | Show source |
beer gallon | Show source | beer gal | Show source | - | Imperial volume unit. Equivalent to two hundred eighty two cubic inches. | Show source |
Some facts#
- The volume is a measure of the space occupied by the body in three-dimensional space.
- The basic volume unit in SI system is 1m3 (one cubic meter). However, it is rare used in everyday life. Most common units are - depending on region - liters and gallons.
- The volume occupied by the body generally depends on external conditions (temperature, pressure). This fact must be taken into account, for example during the construction of bridges, where it is necessary to take into account the thermal expansion of metals.
- the ideal gas state equation involves the volume occupied by the gas from its temperature and pressure. This equation is a good approximation to the behavior of real gases. The equation was formulated in the nineteenth century by Benoît Clapeyron. It takes the form:
where:
- p - pressure,
- v - volume,
- n - the number of moles of gas in the system,
- T - temperature,
- R - the gas constant amounting to .
- p - pressure,
- Volume of many bodies can be computed from their dimensions. Examples are:
- Volume of a cuboid:
where:
- a, b are, respectively, the dimensions of the base,
- h is his height.
- a, b are, respectively, the dimensions of the base,
- Volume of a cone:
where:
- S is a field base of the cone,
- h is its height.
- S is a field base of the cone,
- Volume of a cylinder:
where:
- h is the height of the cylinder,
- R is a radius of the base.
- h is the height of the cylinder,
- Volume of a cuboid:
- Most formulas to compute volume can be derived using calculus.
How to convert#
- Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
Examples:- 1000000
- 123,23
- 999.99999
- Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
- And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.
Tags and links to this website#
Tags:
Tags to Polish version:
What tags this calculator has#
Permalink#
This is permalink. Permalink is the link containing your input data. Just copy it and share your work with friends:
Links to external sites (leaving Calculla?)#
Ancient version of this site - links#
In December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archival purposes.
Direct link to the old version: "Calculla v1" version of this calculator
Direct link to the old version: "Calculla v1" version of this calculator