Measure all required distances in meters. The volume of many three-dimensional figures can be easily calculated using the appropriate formulas. However, all values ​​​​substituted into formulas must be measured in meters. Therefore, before plugging values ​​into the formula, make sure that they are all measured in meters, or that you have converted other units of measurement to meters.

• 1 mm = 0.001 m
• 1 cm = 0.01 m
• 1 km = 1000 m

Kl – number of liters.

A similar formula can be used if the initial volume is specified in cubic decimeters (dm³).
Km³ = Kdm³ * 0.001,
where Kdm³ is the number of cubic decimeters.

If the initial volume is given in centimeters (cm³) or cubic millimeters (mm³), then use the following formulas to calculate cubic meters:
Km³ = Ksm³ * 0.000001

Km³ = Kmm³ * 0.000000001,
where Kcm³ and Kmm³ are the number of cubic centimeters and millimeters, respectively.

They have a more complex shape when they represent several parallelepipeds standing next to each other, for example, a room has the shape of an G. In this case, using the method proposed in the previous paragraph, measure the floor area in each part of the room where it is a rectangle. Add up the results obtained. This will be the floor area, which is equal to the ceiling area.

In modern rooms it often happens that it is made with ledges, which can have different shapes. Measure the ceiling area of ​​such a room in two stages. First, using the method described in the previous paragraphs, find the ceiling area by calculating the floor area. Then, using a tape measure, measure the length and height of each of the ledges. To find the area of ​​each ledge, multiply its length by its height. To obtain the total area of ​​the ceiling, find the sum of the area of ​​the part of the ceiling that is equal to the floor and the areas of all ledges.

If the ceiling is located at an angle to the floor (inclined plane). Measure the length of that side of it that is the same length on both the floor and on. Then, measure the length of the sloped ceiling and multiply these values. In the event that this length cannot be measured (high ceiling):

1. Using a tape measure (preferably use a laser), find the height to the lower and upper corner of the ceiling. This can be done directly from the floor, directing the beam to the ceiling.

2. Find the difference between the resulting two heights.

3. Measure the length along which the ceiling height changes.

4. Find the sum of the numbers obtained in steps 2 and 3.

5. Extract the square from the result of step 4.
This will be the length of the inclined part of the ceiling, after which you can find its area as described above.

Video on the topic

Cubic volume is a characteristic of a body that shows its ability to contain a certain number of cubes of any substance or gas. It is very easy to calculate cubic volume.

Instructions

From the definition it becomes clear that the volume of any hollow body is conditionally determined by its ability to contain a certain amount of something. If by cube we mean a cube whose edge size is 1 cm, then we are talking about cubic centimeters. If the size of the edge of the cube is 1 m, then we are talking about volume measured in cubic. Similarly, volume can be measured in cubic, decimeters or other measures, depending on the size of the edge of the cube.

Now, with what the cubic volume of any body is, you can proceed directly to its calculation. Formulas that can be used to determine the cubic volumes of the most common volumetric bodies are presented below:

V = c³ - volume of the cube, c - size of the edge of the given cube;

V = S*h - , S is the area of ​​its base, h is its height;

V = π*r²*h - volume of the cylinder, r - radius of the circle at its base, π - constant (π = 3.14);

V = (4*π*r³)/3 is the volume of the ball, r is its radius;

V = (4*a*b*c*π)/3 - volume of the ellipsoid, a, b, c - its main axes;

V = (S*h)/3 - the volume of the pyramid, S - the area of ​​its base, h - its height;

V = (π*r²*h)/3 - volume of the cone.

For clarity and clarity, we can consider several examples.

Example 1: Given a pyramid whose base area is 60 cm² and its height is 20 cm, you need to find the cubic volume of this pyramid. To solve the proposed problem, you will need to use one of your formulas:

V = (60*20)/3 = 400 cm³

Answer: the cubic volume of this pyramid is 400 cm³

Example 2: You need to find the cubic volume of a prism with a base area of ​​140 m² and a height of 60 m.

Having looked at the formulas given above, you need the necessary one and apply it:

V = 140*60 = 8400 m³

Answer: cubic volume of a given prism

Instructions

The gap between cubic “meters” and “centimeters” is even greater. It is already 10^3=1000000 times. A cubic meter is conventionally depicted as a cube with a side of 1 meter.

The intermediate link between centimeters and meters is “”. The prefix “deci” (from the Latin decimus – “tenth”) implies a multiplier of 10^(-1). The cubic dimension will “triple” this factor.

To convert cubic centimeters to cubic centimeters, multiply the number by 10^(-3) (or divide by 10^3). For example, 9 cu. cm = 9 10^(-3) cu. dm = 9/10^3 cu. dm = 0.009 cubic meters dm.

To convert cubic decimeters to cubic centimeters, perform the reverse operation: multiply the number by 10^3. For example, 1 cu. dm = 1 10^3 cu. cm = 1000 cc. cm.

Useful advice

All metric prefixes “work” directly only for the linear measurement system. Next, they change their “strength” in accordance with the exponent. The "two" (square) measurement system doubles the power of prefixes. The cubic system triples.

Sources:

• 10 m cubic

You will need

• - pencil;
• - paper.

Instructions

Example.
How many cubic meters of water are in a glass?
Solution.
The volume of a standard (uncut) glass is 0.2 liters, or 0.2 dm³. Since there is only one digit to the left of the decimal point, to convert dm³ to m³ add three more zeros to the left:
0,2 -> 0000,2.
Now move the decimal point three places to the left:
0000,2 -> 0,0002.
Answer: a glass contains 0.0002 cubic meters of water.

If cubic is given in whole number form, to convert it to cubic meters, add a decimal point to the right of the number, and then move it three places to the left. If there are less than three digits in the original number, then fill in the missing characters on the left with insignificant zeros.

Example.
How many cubic meters of water does it hold?
Solution.
The volume of a regular bucket is 10 liters, or 10 cubic decimeters. To convert this volume into cubic meters, add a decimal point to the right of the number 10:
10 -> 10,.
Now add two missing zeros to the number on the left:
10, -> 0010,.
Finally, move the decimal point three digits to the left:
0010 -> 0,010.
In principle, the problem is solved, but to get a more “beautiful” result, remove the “extra” insignificant zeros from the number:
0,010 -> 0,01.
Answer: a bucket holds 0.01 cubic meters of water.

In the English Navy, the distance in yards when using weapons.

The yard has a certain relationship with other English measures of length. A yard is equal to 3 feet or 36 English inches.

History of the yard

The name of this unit of measurement comes from the ancient Anglo-Saxon, which denoted a straight line or rod intended for measuring length.

The yard as a measure of length appeared in the 10th century. It was introduced by the English king Edgar (959-975), who determined its size very simply - based on the size of his own body. A yard was equal to the distance between the tip of the middle finger of the monarch's hand, extended to the side, and the tip of his nose. On the one hand, this was convenient, but as soon as a new king occupied the throne, the size of the yard had to be changed.

The youngest son of William the Conqueror, King Henry I (1068-1135), decided to put an end to such confusion once and for all. He established a constant yard length. So that none of his subjects would have doubts about this, the king even ordered a standard to be made from elm. There is a legend that this monarch had a sword exactly one yard long.

However, despite all the efforts of Henry I, the size of the yard subsequently changed several times.

Modern yard

The modern yardage standard is the result of a compromise. In 1959, the states of this unit of measurement - Great Britain, USA, Australia, New Zealand and Canada - established the so-called. "international yard" Its length is 0.9144 m. This is the yard currently used. For ease of calculation, its length is often rounded to 914 cm (0.914 m).

How many liters are in one cubic meter? 1m3=1000 liters or 1 liter = 0.001m3. But often, there is a need to convert dissimilar units of measurement, for example, convert square meters to cubic meters and vice versa.

1 m³ = 1000 dm³ = 1,000,000 cm³ = 1,000,000,000 mm³ = 1,000 liters ≈ 35.3 cubic feet ≈ 1.31 cubic yards ≈ 6.29 barrels. To heat a cubic meter of water from +1 to +100 degrees Celsius at standard atmospheric pressure requires about 100,000,000 calories (100,000 kCal = 100 MCal) or 116.299 kilowatt-hours. Very often the results of certain calculations and measurements are provided in cubic meters.

If you need to convert length, mass or area into cubic meters, you will need additional information and it will be a little more complicated. They may also become necessary if you are making something with your own hands.

How to calculate cubic meter from volume?

The same formula is applicable in a situation where the volume is given in cubic decimeters. Do not forget that Kcm³ and Kmm³ are the number of cubic centimeters and millimeters. If you know the mass, then to correctly calculate cubic meters you will need to clarify the density of the substance. M" will be equal to the body mass in kilograms, and "P" will be the density. H, W and D - these will be height, width and length or thickness, respectively.

I didn’t really like math at school, and now I don’t really like it!!! For example, we sometimes need to convert kilograms into grams, kilometers into meters, etc. These are the so-called multiple units. For example, you are renovating a house and you need to cover the floor of 500 square meters with a board that is 2 centimeters thick.

How did we calculate this? In one cubic meter of building materials with different thicknesses there will be a completely different number of square meters. For example, if this is a liquid substance (for example, water), then its value can be measured in milliliters, liters, deciliters, centiliters, as well as in deciliters, tons, cubic meters, etc.

How much is 1 cubic meter? It’s a shame, but I forgot!

Volume is the space occupied by a substance or object. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. 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 system. In Scotland, portions are smaller - one fifth of a jill, or 28.4 milliliters.

Now, it’s 25 or 35 milliliters, depending on the rules of the establishment. 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 drachms.

Units of volumeCubic meter

The volume of a teaspoon is different in different measurement systems. It is the latter volume that is now used in the American measurement system. In the UK it is common to use 5.9 milliliters, but some diet guides and cookbooks use 5 milliliters. The volume of a tablespoon also varies depending on the geographic region. In American dietetics, the volume of a cup is 240 milliliters.

Volumes in cooking

Gallons and quarts also have different sizes depending on the geographic region where they are used. 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.

In the UK, milk and cider are measured in pints. A pint is equal to one-eighth of a gallon. An imperial ounce is approximately equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains approximately 29.6 milliliters. 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 quantities is the volume of the object being measured.

Cube: edge length to the third power. This volume can also be calculated using the properties of right triangles. Here E (short for exponent) means “· 10^”, that is, “...multiply by ten to the power...”.

Let's start with the fact that all units of measurement currently used in physics, and in everyday life, are the result of centuries-old experimental decisions. It is a measure of the volume of a substance. Using a calculator, you can calculate how many eurolining boards you will need to finish a certain number of square meters of surface. If you need to calculate cubic or square meters for products other than lumber, you can use our universal calculators.

This is the same as 0.001 cubic meters. Cubic meters are the standard unit for measuring volume today. As a reminder, cubic meters are used to calculate volume, and square meters are used to calculate area. To correctly calculate the number of cubic meters contained in a volume specified in other measurement systems, you need to multiply this number by a certain coefficient.

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1 cubic meter [m³] = 1000000 cubic centimeter [cm³]

Initial value

Converted value

cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exaliliter petalitre teralitre gigalitre megaliter kiloliter hectoliter deciliter deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cubic cm drop barrel (petroleum) barrel American barrel British American gallon British quart US quart British pint US pin that British glass American glass (metric) glass British fluid ounce US fluid ounce British tablespoon amer. tablespoon (meter) tablespoon brit. American dessert spoon Brit dessert spoon teaspoon Amer. teaspoon metric teaspoon brit. gill, gill American gill, gill British minim American minim British cubic mile cubic yard cubic foot cubic inch register ton 100 cubic feet 100-foot cube acre-foot acre-foot (US, geodetic) acre-inch decaster ster decister cord tan hogshead plank foot drachma kor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) kab (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 damask quarter wine bottle vodka bottle glass charka shalik

Learn more about volume and units of measurement in recipes

General information

Volume is the space occupied by a substance or object. Volume can also refer to the free space inside a 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 of 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

This is the same as 0.001 cubic meters. The mass of one liter of water at a temperature of 4°C is approximately equal to one kilogram. Milliliters, equal to one cubic centimeter or 1/1000 of a liter, are also often used. Milliliter is usually denoted 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 system. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve strong drinks in portions of a quarter jill, or 35.5 milliliters. In Scotland, portions are smaller - one fifth of a jill, or 28.4 milliliters. In England, until recently, portions were even smaller, just one-sixth of a jill or 23.7 milliliters. Now, it’s 25 or 35 milliliters, depending on the rules of the establishment. The owners 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 drachms.

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 mass.

Teaspoon

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 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 to use 5.9 milliliters, but some diet guides and cookbooks use 5 milliliters. The size of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons 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 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, cups are not defined as strictly as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, and an American cup is slightly smaller, approximately 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, accordingly, 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 the pint is not used to measure other liquids. In the UK, milk and cider are measured in pints. 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 approximately equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains approximately 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 fluid 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 quantities is the volume of the object being measured. For example, if when you lower an object 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.

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: length of an edge to the third power.

Ellipsoid: product of semi-axes and 4/3π.

Pyramid: one third of the product of the area of ​​the base of the pyramid and the height. Post a question in TCTerms and within a few minutes you will receive an answer.