5 cm cubic to cubic meters. How to find volume in cubic meters

Measure all required distances in meters. The volume of many three-dimensional figures is easy to calculate using the appropriate formulas. However, all values ​​substituted into the formulas must be measured in meters. Thus, before substituting 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

To calculate the volume of rectangular shapes (rectangular box, cube) use the formula: volume = L × W × H(length times width times height). This formula can be considered as the product of the surface area of ​​one of the faces of the figure and the edge perpendicular to this face.

• For example, let's calculate the volume of a room with a length of 4 m, a width of 3 m and a height of 2.5 m. To do this, simply multiply the length by the width by the height:
  • 4×3×2.5
  • = 12 × 2.5
  • = 30. The volume of this room is 30 m 3.
• A cube is a three-dimensional figure in which all sides are equal. Thus, the formula for calculating the volume of a cube can be written as: volume \u003d L 3 (or W 3, or H 3).

To calculate the volume of figures in the form of a cylinder, use the formula: pi× R 2 × H. The calculation of the volume of a cylinder is reduced to multiplying the area of ​​the round base by the height (or length) of the cylinder. Find the area of ​​the circular base by multiplying pi (3.14) by the square of the circle's radius (R) (the radius is the distance from the center of the circle to any point on that circle). Then multiply the result by the height of the cylinder (H) and you will find the volume of the cylinder. All values ​​are measured in meters.

• For example, let's calculate the volume of a well with a diameter of 1.5 m and a depth of 10 m. Divide the diameter by 2 to get the radius: 1.5/2=0.75 m.
  • (3.14) × 0.75 2 × 10
  • = (3.14) × 0.5625 × 10
  • = 17.66. The volume of the well is 17.66 m3.

To calculate the volume of a sphere, use the formula: 4/3 x pi× R 3 . That is, you only need to know the radius (R) of the ball.

• For example, let's calculate the volume of a balloon with a diameter of 10 m. Divide the diameter by 2 to get the radius: 10/2=5 m.
  • 4/3 x pi × (5) 3
  • = 4/3 x (3.14) x 125
  • = 4.189 × 125
  • = 523.6. The volume of the balloon is 523.6 m 3.

To calculate the volume of figures in the form of a cone, use the formula: 1/3 x pi× R 2 × H. The volume of a cone is 1/3 of the volume of a cylinder that has the same height and radius.

• For example, let's calculate the volume of an ice cream cone with a radius of 3 cm and a height of 15 cm. Converting to meters, we get: 0.03 m and 0.15 m, respectively.
  • 1/3 x (3.14) x 0.03 2 x 0.15
  • = 1/3 x (3.14) x 0.0009 x 0.15
  • = 1/3 × 0.0004239
  • = 0.000141. The volume of an ice cream cone is 0.000141 m 3.

Use several formulas to calculate the volume of irregular shapes. To do this, try to break the figure into several shapes of the correct shape. Then find the volume of each such figure and add up the results.

• For example, let's calculate the volume of a small granary. The storage has a cylindrical body 12 m high and a radius of 1.5 m. The storage also has a conical roof 1 m high. By calculating the volume of the roof and the volume of the body separately, we can find the total volume of the granary:
  • pi × R 2 × H + 1/3 x pi × R 2 × H
  • (3.14) x 1.5 2 x 12 + 1/3 x (3.14) x 1.5 2 x 1
  • = (3.14) × 2.25 × 12 + 1/3 x (3.14) × 2.25 × 1
  • = (3.14) × 27 + 1/3 x (3.14) × 2.25
  • = 84,822 + 2,356
  • = 87.178. The volume of the granary is 87.178 m3.

Cl - the number of liters.

A similar formula can be used if the initial volume is given in cubic decimeters (dm³).
Km³ \u003d 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 = Kcm³ * 0.000001

Km³ \u003d Kmm³ * 0.000000001,
where Kcm³ and Kmm³ are the number of cubic centimeters and millimeters, respectively.

If the mass is known, then to calculate cubic meters (volume), specify the density of the substance. It can be found in the corresponding density tables of substances or measured independently. To calculate the number of cubic meters, divide the body weight (in kilograms) by its density (in kg / m³). That is, use the following formula:
Km³ \u003d M / P,
Where,
M - body weight (in kg),

P - density (in kg / m³).
P - density (in kg / m³).

If the object is a simple three-dimensional figure and some of its parameters are known, then use the appropriate geometric formulas to calculate the volume. So, for example, if the body is a rectangular parallelepiped, then its volume can be calculated using the following formula:
Km³ = L * W * H,
where: L, W and H are the length, width and height (thickness) of the parallelepiped, respectively. Units for length, width and height must be specified in meters (linear).

The room has a ceiling height of 2.5 meters, a length of 10 meters and a width of 8 meters. It is required to determine the volume (number of cubic meters) of the room.
Solution.

Km³ = 2.5 * 10 * 8 = 200 cubic meters.

Related article

Sources:

• how many meters in 1 km

Suppose you are faced with the task: how many boxes can be placed in the trunk of your car, if its volume is already known? The task is simple: calculate the volume of each box separately, add up and get the total volume of your cargo. Now you have to solve the minimum problem: calculate the volume of the box.

You will need

• Roulette or ruler
• Box
• Formulas for calculating the area of ​​a rectangle and the volume of a parallelepiped

Instruction

According to the theorem, the area of ​​a rectangle is equal to the product of its two sides. The area of ​​the base is found by measuring two sides perpendicular to each other: AB and BC. Or AD and CD, which is the same thing, because. parallel sides of a rectangle are equal.

The height of the box in this case is the edge of the face AE. Finally, we calculate the volume of the box using the formula for the volume of a parallelepiped: (see fig.)

Thus, the volume of the box is calculated, which has the shape of a rectangular parallelogram, each face of which has the shape of a rectangle. The volume of a box of a different shape will be calculated using different formulas.

Related videos

note

If in the future you plan to fill the trunk of a car with boxes, please note that, as a rule, the trunk has an irregular geometric shape and the calculations for filling it with boxes will be approximate.

Helpful advice

When you measure the sides of a box in centimeters, the result will be in cubic centimeters (cm^3). When converting cm ^ 3 to cubic meters (m ^ 3), the result is multiplied by 0.001. When converting m^3 to liters, the result is multiplied by 1000.

Sources:

• Interactive formula reference
• calculate the volume of the box

The aquarium in the house is not only very beautiful. It has been proven that observing underwater life calms the nerves, improves mood and puts the mind in order. But in order for the underwater life not only to look harmonious, but also not to cause inconvenience to the underwater inhabitants, it is necessary to create comfortable conditions for them, namely, to choose the right size of the aquarium.

You will need

• calculator or mental arithmetic, aquarium decorations and soil, fish

Instruction

To begin with, think carefully about what kind of fish you plan to place in the aquarium. It should not be very crowded, otherwise internal wars and, as a result, the death of residents are inevitable. And this is not what you want to put an aquarium for. Therefore, it is necessary to know how much internal space this or that individual requires. As a rule, a peaceful medium-sized fish (5-8 cm) requires 10-15 liters. Accordingly, the larger the fish and the more aggressive it is, the more space it needs to get along peacefully with its neighbors.

Decide what interior decorations you want to place, what plants you want to plant in what soil.
We must not forget that the decorations, plants and soil occupy a certain volume of the internal space of the aquarium. The thickness of the soil layer depends on the size of its particles and ranges from 3 to 8 centimeters. That is, the larger the particles, the thicker the layer of soil in the aquarium should be. The background can also be voluminous (although this is often not the case), so be sure to take that into account as well.

Considering all the selected items, calculate the size of the aquarium you need. As a rule, the volume is already indicated in stores, and when buying, you will know for sure whether this or that aquarium will suit you. But if you do not know the exact volume of this particular aquarium, it can be calculated using the formula. To do this, multiply the length, depth and height of the aquarium in centimeters. We will get the volume in cubic centimeters. This value must be multiplied by 0.001 to get liters. By choosing the right aquarium, you can create a beautiful corner in your own home and ensure a joyful happy life for its inhabitants.

Related videos

Volume is a quantitative characteristic of space. The volume of the room is determined by its shape and linear dimensions. The concept of capacity is closely related to the concept of volume, that is, the volume of the internal space of a vessel, packing box, etc. The accepted units of measurement are in the SI measurement system and its derivatives - cubic meter m3, cubic centimeter, liter.

You will need

• To measure the volume of a room, you will need a tape measure, a piece of paper, a calculator, a pen.

Instruction

Each room, for example a room, is, from a geometric point of view, a rectangular parallelepiped. A parallelepiped is a three-dimensional figure that has six faces (for example, a room: 4 walls, a ceiling, a floor), and each of them is a rectangle. The formula for finding the volume of a rectangular parallelepiped is: V=abc. The volume of a rectangular parallelepiped is equal to the product of its three dimensions. In addition to this formula, you can measure the volume of a room by multiplying the floor area by the height.

So start calculating the volume of the room. Measure the length of one wall (long wall), then measure the length of the second wall (short wall). Take measurements on the floor, at the level of the plinth. Keep the tape measure straight. Now measure the height of the room, to do this, go to one of its corners, and accurately measure the height along the corner from floor to ceiling. Write down the received data on a piece of paper so as not to forget. Now proceed to the calculations: multiply the length of the long wall by the length of the short wall, multiply the resulting product (number) by the height and you will get the desired result. rooms are calculated in various cases: 1) in the case of buying an air conditioner, since air conditioners are designed for a certain volume of rooms; 2) with the case of installing heating radiators in rooms, since the number of sections in the radiator directly depends on the volume of the room.

If you have an irregularly shaped room, that is, it consists of a large parallelepiped and a small one. In this case, it is necessary to measure the volume of each of them separately, and then add them up. If your room has an alcove (a semicircular niche), then its volume must be calculated using the volume formula. The volume of any cylinder is equal to the product of the base area and the height: V=π r2 h, where π is the number "pi" equal to 3.14, r2 is the square of the radius of the cylinder, h is the height. Imagine your alcove as part of a cylinder, calculate the volume of the entire cylinder, then look at what part of this cylinder your alcove occupies, subtract the excess part from the total volume.

Helpful advice

When measuring the radius of the alcove, use a thread with a needle, stick the needle into the imaginary center of the cylinder and pull the thread to the wall, then measure its length.

Sources:

• cuboid
• room volume

Cubic volume is a characteristic of a body, showing its ability to contain a certain number of cubes of a substance or gas. Calculating cubic volume is very easy.

Instruction

Note. The gas in the cylinder is in a liquefied state and under high pressure, so in fact its volume is much larger.

If the mass of the body is known, then to find the number of cubic meters, multiply the mass by. The mass must be expressed in , and the density in kg/m³. The result in this case will be in . The density of a substance can be found in the relevant reference books or measured independently. Note that the density of water is 1000 kilograms per cubic meter. Approximately the same value is equal to the density of many liquids used in practice.

In practice, the shape of the object (container, room) often helps to find the number of cubic meters. So, for example, if the body is a rectangular parallelepiped (standard room, box, bar), then its volume will be equal to the product of the length, width and height (thickness) of the object.

If the base of the object has a more complex shape, but a constant height, then multiply the area of ​​\u200b\u200bthe base by the height. So, for example, for a cylinder, the area of ​​\u200b\u200bthe base will be equal to "pi" "er" square (πr²), where r is the radius of the circle lying at the base.

The cubed meter, cubic meter, or cubic meter is the standard unit for measuring volume. In these units, the volume of premises is calculated, as well as the consumption of water and gas. They also often indicate the amount of some building materials, for example, boards. The rest, non-systemic units of volume measurement - liters, cubic decimeters and centimeters - are also translated into cubic meters.

You will need

• - calculator;
• - table of substance density;
• - computer.

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1 cubic meter [m³] = 1000000 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 British 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 metre. 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. Post a question to TCTerms and within a few minutes you will receive an answer.