Today you have to find out (or maybe not find out, but only remember), how to convert liters to cubic centimeters and vice versa. Such recalculations in laboratory practice have to be performed almost daily, and in ordinary life the knowledge gained will be useful to you more than once. If you do not want to understand the details, but only need an answer, we recommend using the Google service specially designed for this purpose. For those who want to learn how to perform all the necessary calculations on their own, detailed instructions are given later in the article.
It should be noted that in the international SI system of measures, a cubic meter (m 3) is adopted as a unit of volume. But when working in chemical, physical or biological laboratories, as a rule, one has to deal not with cubic meters, but with liters, which are not actually SI units. This is understandable, since there are 1000 liters in a cubic meter. Agree, not the most convenient unit for measuring volume in laboratory work. In practice, these values are almost never used.
So, one liter is 1/1000 of a cubic meter. This is the volume of a cube with sides of 10 cm. It is easy to calculate how many cubic centimeters are in one liter:
1 liter \u003d (1 dm) 3 \u003d (10 cm) 3 \u003d 1000 cm 3.
In other words, a liter is a unit of measurement for the volume of the “decimeter range”. A decimeter is 10 centimeters, which means that 1 liter is equal to 1 cubic decimeter.
Now let's deal with a smaller unit of measure - a milliliter. A milliliter is equal to a cubic centimeter, i.e. milliliter (ml) and cubic centimeter (cm 3) have the same volume: 1 ml \u003d 1 cm 3. In English literature, the abbreviation cc is widely used - cubic centimeter: 1 cc \u003d 1 cm 3 \u003d 1 ml.
Tasks for converting liters to cubic centimeters
We will consolidate the knowledge gained in practice by examining a couple of specific examples.
Example 1. What is the volume in liters of a cube with a side of 25 centimeters?
To solve this problem, we first calculate the volume of the cube in cm 3:
- The volume of a cube is equal to the length of its side raised to the third power.
- The volume of our cube in cm 3 \u003d (25 cm) 3 \u003d 15625 cm 3.
Now let's convert cubic centimeters (cm 3) to milliliters (ml):
- 1 cm 3 \u003d 1 ml, i.e. the volume in ml is equal to the volume in cm3.
- The volume of our cube in ml = 15625 ml.
And finally, convert milliliters to liters:
- 1 l = 1000 ml.
- Volume in l = (volume in ml) x (1 l / 1000 ml) = (volume in ml) / 1000 (This is easy to understand, because a milliliter is a thousand times smaller than a liter).
- The volume of our cube in l = (15625/1000) = 15.625 l.
Answer: The volume of a cube with sides of 25 cm is 15.625 liters.
If you are lucky, and the initial value is already set in cubic centimeters, it will not be difficult to convert to liters.
Example 2. Convert 442.5 cm 3 to liters.
From the previous example, you already know that a cubic centimeter is equal to a milliliter, i.e.:
- 442.5 cm 3 \u003d 442.5 ml.
Now you just need to convert milliliters to liters:
- 1000 ml = 1 l.
- So, in our case, the volume in l = 442.5 ml / 1000 = 0.4425 l.
Answer: the volume in liters is 0.4425 liters.
Please note that whenever the volume (however, like any other value) is less than one, you must add a zero before the decimal point to make it easier to read the number.
Homework
To make sure you have a good understanding of how to convert liters to cubic centimeters, try answering the following questions:
- How many milliliters are in 4.3 liters?
- Convert 823 ml to liters.
- How many times the volume of a 2 ml syringe is less than the volume of a 1 liter bottle.
Submit your answers in the comments and we'll discuss them together.
Prepared by Sergey Valerievich
The calculator converts volume units. The most commonly used metric units are the liter and the cubic meter. A liter is equal to 1 cubic decimeter, a cubic meter is equal to 1,000 liters. A hectoliter is equal to 100 liters.
The Anglo-American system uses historical units, which in the United States and Great Britain, despite the same name, represent a different volume. In America, moreover, a different system of volume units for liquids and solids (for example, grain) is still used. For example, one pint can represent three different volumes. In the translation table, the individual systems are clearly separated.
Converter
Enter volume and select units
millimeter (mm) cubic centimeter (cm) cubic decimeter (dm) cubic meter (m) cubic milliliter (ml) centiliter (cl) deciliter (dl) liter (l) hectoliter (hl) jill (gi) pint (pt) quart ( qt) gallon (gal) barrel (bl) jill (gi) pint (pt) quart (qt) gallon (gal) barrel (bl) pint (pt) quart (qt) gallon (gal) peck (pk) bushel (bsh) quarter (qr)Round up to decimal places
One has to deal with the measurement of volume all the time: refueling a car tank with fuel, taking a potion, paying for water consumption, etc. How is volume measured?
When measuring volume, proceed in the same way as when measuring area. As a unit of measurement, a cube with an edge equal to some unit of length, for example, 1 cm, is chosen. Then the unit of volume will be the volume of such a cube.
Rice. 65
For example, the volume of a rectangular parallelepiped (Fig. 65) is 24 cm 3. This means that its volume contains 24 cubes of 1 cm 3 each. The same result can be obtained by measuring the length a, width b and height c of the body, and then multiplying their values. The volume is indicated by the Latin letter V:
V=abc;
V = 3 cm 2 cm 4 cm = 24 cm 3.
Using this formula, you can find the volumes of bodies that have the shape of a rectangular parallelepiped, a cube.
In SI, the unit of volume is 1 m 3. Other units: dm 3, cm 3, mm 3 - submultiple units m 3.
1 m 3 \u003d 1000 dm 3 \u003d 1. 103 dm 3;
1 dm 3 \u003d 1000 cm 3 \u003d 1. 10 3 cm 3;
1 cm 3 \u003d 1000 mm 3 \u003d 1. 10 3 mm 3;
1 dm 3 \u003d 0.001 m 3 \u003d 1. 10 -3 m 3;
1 cm 3 \u003d 0.001 dm 3 \u003d 0.000 001 m 3 \u003d 1. 10 -6 m 3;
1 mm 3 \u003d 0.001 cm 3 \u003d 1. 10 -3 cm 3;
1 mm 3 \u003d 0.000 001 dm 3 \u003d 1. 10 -6 dm 3;
1 mm 3 \u003d 0.000 000 001 m 3 \u003d 1. 10 -9 m 3.
But how to measure the volume of an irregularly shaped body, such as a kettlebell? Here, the most convenient way is to lower the body (weight) into a beaker with water and determine the volume of water displaced by it. It will be equal to the volume of the body. In figure 66, the volume of the weight is:
V \u003d 49 ml - 21 ml \u003d 28 ml \u003d 28 cm 3.
Rice. 66
In everyday life, a unit of volume of 1 liter (l) is common. One liter is nothing but one cubic decimeter (Fig. 67):
1 l \u003d 1 dm 3;
1 milliliter (ml) \u003d 0.001 l \u003d 1 cm 3.
Rice. 67
The accuracy of volume measurement depends on the division value of the scale of the measuring instrument. The smaller it is, the greater the measurement accuracy.
Interesting to know!
In the English system of measures, the unit of area is 1 acre:
1 acre \u003d 4046.86 m 3;
unit of volume - 1 barrel:
1 barrel \u003d 163.65 dm 3 \u003d 0.16 m 3.
In the USA, a dry barrel is distinguished:
1 dry barrel = 115.628 dm 3
and oil barrel:
1 oil barrel \u003d 158.988 dm 3 \u003d 0.159 m 3.
Now it will be clear to you how much oil is being discussed when the price for 1 barrel of oil is being discussed.
Think and answer
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1 liter [l] = 1000 cc [cm³]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exalitre petaliter teraliter gigaliter megaliter kiloliter hectoliter decalitre deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US gallon British quart US quart British pint US pint English glass American glass (metric) glass British ounce fluid US ounce fluid British tablespoon Amer. tablespoon (meter) tablespoon UK dessert spoon amer. dessert spoon Brit. teaspoon amer. metric teaspoon teaspoon Brit. gill, gill american gill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch reg ton 100 cubic feet 100 cu. foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) cab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket shtof quarter wine bottle vodka bottle glass cup shkalik
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Also, the volume can denote the free space inside the container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit for volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
It's like 0.001 cubic meters. The mass of one liter of water at 4°C is approximately equal to one kilogram. Often milliliters are also used, equal to one cubic centimeter or 1/1000 of a liter. A milliliter is usually referred to as ml.
jill
Gills are units of volume used in the United States to measure alcoholic beverages. One gill is five fluid ounces in the British imperial system, or four in the US. One American jill is equal to a quarter pint or half a cup. In Irish pubs, strong drinks are served in portions of a quarter of a jill, or 35.5 milliliters. The Scottish portions are smaller - one-fifth of a jill, or 28.4 milliliters. In England, until recently, servings were even smaller, only one-sixth of a jill or 23.7 milliliters. Now, it's 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two servings to serve.
AMD
Dram, or drachma - a measure of volume, mass, as well as a coin. In the past, this measure was used in the pharmacy business and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachmas.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by weight.
Tea spoon
The volume of a teaspoon is different in different measurement systems. Initially, one teaspoon was a quarter of a tablespoon, then one third. It is the latter volume that is now used in the American system of measurement. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common practice to use 5.9 milliliters, but some dietary guides and cookbooks use 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for eating.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, about 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
Cup
As a measure of volume, a cup is not as strictly defined as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, while an American cup is slightly smaller, about 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes, depending on the geographic region where they are used. In the imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, respectively, 1.1 liters in the American system, and approximately 1.14 liters in the imperial system.
Pint
Pints are used to measure beer even in countries where pints are not used to measure other liquids. In the UK, pints are used to measure milk and cider. A pint is equal to one eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of the gallon, and the gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, while an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounce. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the liquid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two values is the volume of the measured object. For example, if, when an object is lowered into a cup with one liter of water, the volume of liquid increases to two liters, then the volume of the object is one liter. In this way, only the volume of objects that do not absorb liquid can be calculated.
Formulas for calculating volume
The volume of geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: edge length to the third power.
Ellipsoid: product of semiaxes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, then it can be calculated using the edge and the angle it makes with the base. If we call an edge A, corner A, length - l, and the width - w, then the volume of the parallelepiped V equals:
V = l w a cos( A)
This volume can also be calculated using the properties of right triangles.
Cone: radius squared times height and ⅓π.
Ball: radius to the third power multiplied by 4/3π.
Cylinder: the product of the area of the base of the cylinder, the height, and π: V=π r² h, where r is the radius of the cylinder and h is its height
The ratio between the volumes of cylinder:ball:cone is 3:2:1.
Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question to TCTerms and within a few minutes you will receive an answer.
Length and Distance Converter Mass Converter Bulk Food and Food Volume Converter Area Converter Volume and Recipe Units Converter Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Linear Velocity Converter Flat Angle Converter thermal efficiency and fuel efficiency Converter of numbers in different number systems Converter of units of measurement of quantity of information Currency rates Dimensions of women's clothing and shoes Dimensions of men's clothing and shoes Angular velocity and rotation frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion (by mass) Converter Energy density and specific heat of combustion of fuel (by volume) Temperature difference converter Thermal expansion coefficient converter Thermal resistance converter Thermal conductivity converter Specific heat capacity converter Energy exposure and thermal radiation power converter Heat flux density converter Heat Transfer Coefficient Converter Volume Flow Converter Mass Flow Converter Molar Flow Converter Mass Flux Density Converter Molar Concentration Converter Mass Solution Mass Concentration Converter Dynamic (Absolute) Viscosity Converter Kinematic Viscosity Converter Surface Tension Converter Vapor Permeability Converter Water Vapor Flux Density Converter Sound Level Converter Microphone Sensitivity Converter Converter sound pressure level (SPL) Sound pressure level converter with selectable reference pressure Brightness converter Luminous intensity converter Illuminance converter Computer graphics resolution converter Frequency and wavelength converter Power in diopters and focal length Power in diopters and lens magnification (×) Converter Electric Charge Linear Charge Density Converter Surface Charge Density Converter Bulk Charge Density Converter Electric Current Converter Linear Current Density Converter Surface Current Density Converter Electric Field Strength Converter Electrostatic Potential and Voltage Converter Electrical Resistance Converter Electrical Resistivity Converter Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance converter American wire gauge converter Levels in dBm (dBm or dBm), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing Radiation Absorbed Dose Rate Converter Radioactivity. Radioactive Decay Converter Radiation. Exposure Dose Converter Radiation. Absorbed Dose Converter Decimal Prefix Converter Data Transfer Typographic and Image Processing Unit Converter Timber Volume Unit Converter Calculation of Molar Mass Periodic Table of Chemical Elements by D. I. Mendeleev
1 cubic decimeter [dm³] = 1 liter [l]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exalitre petaliter teraliter gigaliter megaliter kiloliter hectoliter decalitre deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US gallon British quart US quart British pint US pint English glass American glass (metric) glass British ounce fluid US ounce fluid British tablespoon Amer. tablespoon (meter) tablespoon UK dessert spoon amer. dessert spoon Brit. teaspoon amer. metric teaspoon teaspoon Brit. gill, gill american gill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch reg ton 100 cubic feet 100 cu. foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) cab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket shtof quarter wine bottle vodka bottle glass cup shkalik
Sound pressure level
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Also, the volume can denote the free space inside the container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit for volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
It's like 0.001 cubic meters. The mass of one liter of water at 4°C is approximately equal to one kilogram. Often milliliters are also used, equal to one cubic centimeter or 1/1000 of a liter. A milliliter is usually referred to as ml.
jill
Gills are units of volume used in the United States to measure alcoholic beverages. One gill is five fluid ounces in the British imperial system, or four in the US. One American jill is equal to a quarter pint or half a cup. In Irish pubs, strong drinks are served in portions of a quarter of a jill, or 35.5 milliliters. The Scottish portions are smaller - one-fifth of a jill, or 28.4 milliliters. In England, until recently, servings were even smaller, only one-sixth of a jill or 23.7 milliliters. Now, it's 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two servings to serve.
AMD
Dram, or drachma - a measure of volume, mass, as well as a coin. In the past, this measure was used in the pharmacy business and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachmas.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by weight.
Tea spoon
The volume of a teaspoon is different in different measurement systems. Initially, one teaspoon was a quarter of a tablespoon, then one third. It is the latter volume that is now used in the American system of measurement. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common practice to use 5.9 milliliters, but some dietary guides and cookbooks use 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for eating.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, about 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
Cup
As a measure of volume, a cup is not as strictly defined as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, while an American cup is slightly smaller, about 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes, depending on the geographic region where they are used. In the imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, respectively, 1.1 liters in the American system, and approximately 1.14 liters in the imperial system.
Pint
Pints are used to measure beer even in countries where pints are not used to measure other liquids. In the UK, pints are used to measure milk and cider. A pint is equal to one eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of the gallon, and the gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, while an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounce. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the liquid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two values is the volume of the measured object. For example, if, when an object is lowered into a cup with one liter of water, the volume of liquid increases to two liters, then the volume of the object is one liter. In this way, only the volume of objects that do not absorb liquid can be calculated.
Formulas for calculating volume
The volume of geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: edge length to the third power.
Ellipsoid: product of semiaxes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, then it can be calculated using the edge and the angle it makes with the base. If we call an edge A, corner A, length - l, and the width - w, then the volume of the parallelepiped V equals:
V = l w a cos( A)
This volume can also be calculated using the properties of right triangles.
Cone: radius squared times height and ⅓π.
Ball: radius to the third power multiplied by 4/3π.
Cylinder: the product of the area of the base of the cylinder, the height, and π: V=π r² h, where r is the radius of the cylinder and h is its height
The ratio between the volumes of cylinder:ball:cone is 3:2:1.
Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question to TCTerms and within a few minutes you will receive an answer.
