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.
Helpful 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).
Very often, buyers of tanks, reservoirs and other containers have the following questions:
- 1 cube is how many liters?
- How many cubic cm (cubic centimeters), dm cube are in a liter?
- How many liters of gas, propane, earth, solution are in a cube?
- How many liters are in a cube of concrete, diesel fuel?
- How many liters are in a cubic meter (cubic meter)?
- How many liters of air are in a cube?
Further, we can identify groups of questions that are more clarifying, for example, how many cubes is the tank 50 liters? Or 500, 5000, 3000, 200 liters - how many cubic meters is that? These questions are relevant when you need to buy a container of 50, 100, 200 liters - while manufacturers offer containers of 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 depends on the substance that will be placed in the container.
Converting cubes to liters
First, a short digression into the school physics course. The generally accepted unit of volume measurement, as is known, is the cubic meter. Represents 1 cu. m. - the volume of a cube, the side of which is equal to one meter. This unit is not always convenient, so others are often used - cubic 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 = 1 dm3.
From here we get the following forms:
1 cu. m = 1000 l (formula for the volume of a cube in liters)
- How many liters are 0.5 cubic meters? Solution: 0.5*1000=500 liters. Answer: 500 liters.
- How many liters are 10 cubic meters? Solution: 10*1000=10,000 liters. Answer: 10,000 liters.
- How many liters is 2 cubes? Solution: 2*1000=2,000 liters. The answer is 2,000 liters.
- How many liters is 20 cubic meters? Solution: 20*1000=20,000 liters. The answer is 20,000 liters.
- 30 cubic meters is how many liters? Answer: 30,000 liters.
- 300 cubic meters how many liters? Answer: 300,000 liters.
- 5 cubic meters is how many liters? Answer: 5,000 liters.
- 6 cubes - how many liters? Answer: 6,000 liters.
- How many liters are 4 cubes? The answer is 4,000 liters.
Accordingly, the simplest thing: The answer to the question: “1 cubic m how many liters?” - 1000 liters.
How many liters are in a cubic meter?
Now we will give answers to questions regarding the conversion of liters to cubic meters.
- How many cubes are 100 liters? Solution: 100*0.001=0.1 cubic meters. meters. Answer: 0.1 cubic meters.
- How many cubes are 200 liters? Solution: 200*0.001=0.2 cubic meters. meters. Answer: 0.2 cubic meters.
- 3000 liters how many cubes? The answer is 3 cubic meters. meters.
- 500 liters how many cubes? 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 10,000 liters? Answer: 10 cu. m.
- How many cubes is 140 liters? Answer: 0.14 cubic meters.
- 1500 liters how many cubes? Answer: 1.5 cubic meters.
How to convert cubes to liters? You will find out the answer to this question by reading this article.
Students often have difficulty converting one unit of measurement to another. Hence a lot of questions like:
- 1 cubic meter - how many liters is it?
- How many liters are in a cube of water?
- How many liters of gas, propane, gasoline, sand, earth, expanded clay are in a cube?
- How many liters of methane, liquefied gas are in a cube?
- How to convert cm cubed (cm 3) or dm cube (cm 3) to liters?
- A cube of concrete, gasoline, diesel fuel, diesel fuel - how many liters is that?
Next, we can identify a group of more specific questions, for example, how many liters are in a cube of water, and in a bath? Or how many cubes are in a barrel with a volume of 200 liters, and in a bucket, and in 10 liters? How many cubic meters is 40 liters of dry hydrogen? These questions are relevant both for students when solving various problems, and for practical purposes, for example, when buying some kind of water container. Let’s look into this issue thoroughly, remember, so to speak, the hardware, so that at any moment you can easily convert cubes into liters, and, of course, back.
How many liters are in 1 cubic liter? Let us first pay attention to the fact that, regardless of the substance placed in the container, the conversion from liters to cubes will always be the same, be it water, gas, sand or gasoline.
How many liters are in 1 cubic liter?
Let's start with a lyrical digression, namely from a school physics course. It is known that the generally accepted unit of volume measurement is the cubic meter. 1 cubic meter is the volume of a cube whose side is exactly one meter.
This unit is not always convenient and it is for this reason that others are very often used - liters - also known as cubic decimeters and cubic centimeters.
As practice has shown, the most convenient unit of volume measurement is the liter, which is the volume of a cube whose length is 1 dm or 10 cm. Thus, we find that all the questions of how to convert a dm cube into cubes are equivalent to the question: how to convert liters into cubes, because 1 dm. cube = 1 liter.
Formula for converting the volume of a cube into liters
1 cu. m = 1000 l (formula for the volume of a cube in liters)Formula for converting liters to cubic meters
1 l = 0.001 cu. mExamples of converting liters to cubes
And now, armed with all the necessary knowledge, we can proceed directly to the calculations.
| Task #1: How many liters are in 0.5 cubes? Solution: Using the above formula we get: 0.5 * 1000 = 500 liters. Answer: 0.5 cubes contain 500 liters. |
Problem #6: How many liters are in 300 cubic meters? Solution: 300 * 1000 = 300,000 liters Answer: 300 cubic meters contain 300 thousand liters. |
| Problem #2: How many liters are in 1 cubic meter? (the easiest) Solution: 1 * 1,000 = 1,000 liters. Answer: 1 cube contains 1,000 liters. |
Problem #7: 5 cubes - how many liters? Solution: 5 * 1000 = 5,000 liters Answer: 5 cubic meters is 5 thousand liters. |
| Problem #3: 2 cubes is how many liters? Solution: 2 * 1,000 = 2,000 liters. Answer: 2 cubes contain 2,000 liters. |
Problem #8: 6 cubic meters is how many liters? Solution: 6 * 1000 = 6,000 liters. Answer: 6 cubes contain 6 thousand liters. |
| Problem #4: How many liters are in 10 cubes? Solution: 10 * 1000 = 10,000 liters Answer: 10 cubes contain 10 thousand liters. |
Problem #9: 4 cubes how many liters? Solution: 4 * 1000 = 4,000 liters Answer: 4 cubes contain 4 thousand liters. |
| Problem #5: 20 cubic meters is how many liters? Solution: 20 * 1000 = 20,000 liters Answer: 20 cubes contain 20 thousand liters. |
Problem #10: 500 cubic meters how many liters? Solution: 500 * 1000 = 500,000 liters Answer: 500 cubic meters contain 500 thousand liters. |
Examples: how to convert cubes to liters?
Let us now consider the inverse problems of finding the number of cubes in the specified number of liters.
| Task #1: How many cubes are there in 100 liters? Solution: 100 * 0.001 = 0.1 cu. meter. Answer: 100 liters is 0.1 cubic meters. |
Problem #6: How many cubes are there in 1500 liters? Solution: 1500 * 0.001 = 1.5 cubic meters. Answer: 1500 liters are 1.5 cubic meters. |
| Problem #2: How many cubes are there in 200 liters? Solution: 200 * 0.001 = 0.2 cu. meters. Answer: in 200 liters 0.2 m. meters. |
Problem #7: How many cubes are there in 3000 liters? Solution: 3000 * 0.001 = 3 cubic meters. Answer: in 3000 liters - 3 cubic meters. |
| Problem #3: How many cubes are there in 140 liters? Solution: 140 * 0.001 = 0.14 cubic meters. Answer: 140 liters are 0.14 cubic meters. |
Problem #8: How many cubes are there in 5000 liters? Solution: 5000 * 0.001 = 5 cubic meters. Answer: in 5,000 liters - 5 cubic meters. |
| Problem #4: How many cubes are there in 500 liters? Solution: 500 * 0.001 = 0.5 cubic meters. Answer: 500 liters 0.5 cubic meters. |
Problem #9: How many cubes are there in 10,000 liters? Solution: 10,000 * 0.001 = 10 cubic meters m. Answer: in 10,000 liters - 10 cubic meters. m. |
| Problem #5: How many cubes are there in 1000 liters? Solution: 1000 * 0.001 = 1 cubic meter. Answer: There is 1 cubic meter in 1000 liters. |
Problem #10: How many cubes are there in 30,000 liters? Solution: 30,000 * 0.001 = 30 cu. m. Answer: in 30,000 liters there are 30 cubic meters. m. |
To make calculations faster, we suggest you use our online calculators.
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 to calculate cubic meters, use the following formulas:
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, the room has the shape of an G. In this case, according to 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
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 equal 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 the 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 that is specified in other measurement systems, you need to multiply this number by a certain coefficient.