Very often, buyers of tanks, reservoirs and other containers have the following questions:
- How many liters is 1 cubic meter?
- How many cubic centimeters (cube centimeters), dm cube in a liter?
- How many liters of gas, propane, earth, solution are in a cube?
- How many liters in a cube of concrete, diesel fuel?
- How many liters per cubic meter (meter cubic)?
- How many liters of air are in a cube?
Further, we can single out groups of more clarifying questions, for example, a tank of 50 liters, how many cubes? Or 500, 5000 3000, 200 liters - how many cubic meters are. These questions are relevant when you need to buy a container for 50, 100, 200 liters - while manufacturers offer containers for 5, 10 15 cubic meters. Let's figure out how to convert cubes to liters and vice versa. Whether such transfers between units of measurement depend on the substance that will be placed in the container.
Converting cubes to liters
First, small digression in the school physics course. The generally accepted unit for measuring volume, as you know, is the cubic meter. Represents 1 cubic meter. m - the volume of a cube, the side of which is equal to one meter. This unit is not always convenient, therefore, quite often others are used - cube centimeters, and cubic decimeters - liters.
In everyday life, the most convenient unit of measurement is the liter - the volume of a cube, the side of which is 10 cm or 1 dm. Thus, we get the following ratio: 1 liter \u003d 1 dm cube.
From here we get the following forms:
1 cubic meter m \u003d 1000 l (formula for cube volume in liters)
- How many liters are 0.5 cubic meters? Solution: 0.5 * 1000 \u003d 500 liters. Answer: 500 liters.
- How many liters of 10 cubic meters? Solution: 10 * 1000 \u003d 10,000 liters. Answer: 10,000 liters.
- How many liters is 2 cubes? Solution: 2 * 1000 \u003d 2000 liters. The answer is 2,000 liters.
- How many liters is 20 cubic meters? Solution: 20 * 1000 \u003d 20,000 liters. The answer is 20,000 liters.
- How many liters is 30 cubic meters? Answer: 30,000 liters.
- How many liters of 300 cubic meters? Answer: 300,000 liters.
- How many liters is 5 cubes? Answer: 5,000 liters.
- 6 cubes - how many liters? Answer: 6,000 liters.
- How many liters are 4 cubes? The answer is 4000 liters.
Accordingly, the simplest: The answer to the question: "How many liters of 1 cubic meter?" - 1000 liters.
How many liters are there in a cubic meter?
And now we will give the answers to questions regarding the conversion of liters to cubic meters.
- How many cubes are 100 liters? Solution: 100 * 0.001 \u003d 0.1 cubic meters. meters. Answer: 0.1 cubic meters.
- How many cubes are 200 liters? Solution: 200 * 0.001 \u003d 0.2 cubic meters. meters. Answer: 0.2 cubic meters.
- How many cubes are 3000 liters? The answer is 3 cubic meters. meters.
- How many cubes are 500 liters? Answer: 0.5 cubic meters.
- 5000 liters how many cubes? Answer: 5 cubes.
- How many cubes are 1000 liters? Answer: 1 cubic meter.
- How many cubes are 10000 liters? Answer: 10 cubic meters. m.
- How many cubes is 140 liters? Answer: 0.14 cubic meters.
- How many cubes are 1500 liters? Answer: 1.5 cubic meters.
Today you have to find out (or maybe not, 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 even 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 developed 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 system of measures SI, cubic meter (m 3) is taken as a unit of measurement of volume. But when working in a chemical, physical or biological laboratory, as a rule, you have to deal not with cubic meters, but with liters, which are not really SI units. This is quite understandable, since there are 1000 liters in a cubic meter. Agree, not the most convenient unit for measuring volume when conducting laboratory work... In practice, such values \u200b\u200bare 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 for measuring volume in the “decimeter range”. A decimeter is 10 centimeters, which means that 1 liter is equal to 1 cubic decimeter.
Now let's deal with the smaller unit of measurement - the 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 the English language literature, the abbreviation cc is widely used - cubic centimeter: 1 cc \u003d 1 cm 3 \u003d 1 ml.
Tasks to convert liters to cubic centimeters
Let's 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, let us 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. volume in ml is equal to volume in cm 3.
- The volume of our cube in ml \u003d 15625 ml.
And finally, let's convert milliliters to liters:
- 1 l \u003d 1000 ml.
- Volume in l \u003d (volume in ml) x (1 l / 1000 ml) \u003d (volume in ml) / 1000 (This is easy to understand, because a milliliter is a thousand times less than a liter).
- The volume of our cube in l \u003d (15625/1000) \u003d 15.625 liters.
Answer: the volume of a cube with sides of 25 cm is 15.625 liters.
If you are lucky, and the initial value will already be 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 \u003d 1 l.
- This means that in our case the volume in l \u003d 442.5 ml / 1000 \u003d 0.4425 l.
Answer: The volume in liters is 0.4425 liters.
Please note that whenever the volume (however, like any other quantity) is less than one, you must add a zero before the decimal point to make the number easier to read.
Homework
To make sure that you have a good grasp on 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.
Send your answers in the comments, we will discuss them together.
Prepared by Sergey Valerievich
The calculator converts volume units. The most commonly used metric units are liter and 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 different volumes. In America, in addition, a different system of units of volume for liquid and solids (for example, grain). For example, one pint can represent three different volumes. In the translation table, the individual systems are clearly separated.
Converter
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1 liter [l] \u003d 1000 cc [cm³]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exaliter petaliter teraliter gigaliter megaliter kiloliter hectoliter decaliter deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel US barrels british barrels American gallin british glass american glass (metric) glass british ounce fluid USA ounce fluid british tablespoon amer. tablespoon (meter) tablespoon Brit. dessert spoon amer. dessert spoon brit. teaspoon Amer. teaspoon metric. teaspoon brit. jill, gill american jill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch register ton 100 cubic feet 100 cubic feet acre-foot acre-foot (US, geodetic) acre-inch decaster decister cord tan hogshead board foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gyn (biblical unit) kab (biblical unit) log (biblical unit) glass (Spanish) volume of the earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic kiloparsec gigaparsec cask bucket damask quarter wine bottle vodka bottle glass cup scale
Learn more about volume and units in recipes
General information
Volume is the space occupied by a substance or object. Also, the volume can refer to the free space inside the container. Volume is a three-dimensional quantity, as opposed to, 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 of volume is 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 \u003d 10 cm × 10 cm × 10 cm \u003d 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. Milliliters, which are equal to one cubic centimeter or 1/1000 liter, are often used. A milliliter is usually referred to as ml.
Jill
Gills are units of volume used in the United States to measure alcoholic beverages. One jill is five fluid ounces in the British imperial system, or four in the American one. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve hot drinks in quarter-gill portions, or 35.5 milliliters. Scotch servings are smaller - one-fifth of a gill, or 28.4 milliliters. In England, until recently, portions were even smaller, only one-sixth of a gill, or 23.7 milliliters. Now, this is 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two portions to serve.
Dram
Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in pharmacy and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachma.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Loose 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 measuring 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 measurement system. 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 in some dietary manuals and cookbooks it is 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but spoons of different sizes are used for food.
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, approximately 14.7 milliliters, or 1/16 of an American cup. Tablespoons in UK, Canada, Japan, South Africa and New Zealand - also contain three teaspoons. So, a metric tablespoon is 15 milliliters. British tablespoon - 17.7 milliliters, if a teaspoon - 5.9, and 15 - if a teaspoon - 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
A cup
As a measure of volume, cups are not defined as strictly as spoons. The cup volume can vary from 200 to 250 milliliters. The metric cup is 250 milliliters, and the 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 vary in size 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 measures it is 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, accordingly, 1.1 liters in the American system, and approximately 1.14 liters in the imperial system.
Pint
Pints \u200b\u200bare used to measure beer even in countries where the pint is 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 a gallon, and a gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, and an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is roughly equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One American 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 immersed in a liquid of a known volume, a new volume is calculated or measured geometrically, and the difference between these two quantities is the volume of the object being measured. For example, if, when an object is lowered into a cup with one liter of water, the volume of the liquid increases to two liters, then the volume of the object is one liter. In this way, you can only calculate the volume of objects that do not absorb liquid.
Volume formulas
Volume geometric shapes can be calculated using the following formulas:
Prism: product of the area of \u200b\u200bthe base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: rib length in the third degree.
Ellipsoid: product of semiaxes and 4 / 3π.
Pyramid: one third of the product of the area of \u200b\u200bthe base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, it can be calculated using the edge and the angle it forms with the base. If we call the rib and, angle AND, length - l, and the width is w, then the volume of the parallelepiped V is equal to:
V = l w a cos ( A)
This volume can also be calculated using the properties of right-angled triangles.
Cone: radius squared times height and высотуπ.
Ball: radius to the third power multiplied by 4 / 3π.
Cylinder: product of the area of \u200b\u200bthe base of the cylinder, height, and π: V \u003d 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.
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