You will need

- calculator, computer

Instruction

1

To calculate the number of cubic meters, soderjaschihsya in the amount specified in other units, multiply this number by sootvetstviye ratio. For example, if the volume is specified in liters, for the transfer to cubic meters, multiply the number of liters by 0.001, i.e. use the formula:

Km3 = KL * 0,001,

where Km3 - the number of cubic meters, KL – the number of liters.

Km3 = KL * 0,001,

where Km3 - the number of cubic meters, KL – the number of liters.

2

The same formula can be used if the source volume is specified in cubic decimeters (dm3).

Km3 = Кдм3 * 0,001,

where Кдм3 - the number of cubic decimeters.

Km3 = Кдм3 * 0,001,

where Кдм3 - the number of cubic decimeters.

3

If the source volume is specified in centimeters (cm3) or cubic millimeters (mm3) for counting cubic meters use the following formula:

Km3 = Ксм3 * 0,000001

Km3 = Кмм3 * 0,000000001,

where Ксм3 and Кмм3 - the number of cubic centimeters, and millimeters, respectively.

Km3 = Ксм3 * 0,000001

Km3 = Кмм3 * 0,000000001,

where Ксм3 and Кмм3 - the number of cubic centimeters, and millimeters, respectively.

4

If a known mass, for calculating cubic meters (volume) specify the density of the substance. It can be found in sootvetstvuyuschih tables the density of a substance or measure yourself. To calculate the number of cubic meters, divide body weight (in kilograms) by the density (in kg/m3). That is, use the following formula:

Km3 = M / N,

where

M – body weight (in kg),

P – density (kg/m3).

P – density (kg/m3).

Km3 = M / N,

where

M – body weight (in kg),

P – density (kg/m3).

P – density (kg/m3).

5

If the object is a simple three-dimensional shape and is known for some of its parameters, to calculate the volume, use the appropriate geometric formulas. For example, if the body is a rectangular parallelepiped, then its volume can be calculate by the following formula:

Km3 = D * W * H,

where: D, W and length, width and height (thickness) of the parallelepiped, respectively. The units of measurement of length, width and height must be specified in metres (linear).

Km3 = D * W * H,

where: D, W and length, width and height (thickness) of the parallelepiped, respectively. The units of measurement of length, width and height must be specified in metres (linear).

6

Example.

The room has a ceiling height of 2.5 metres, length – 10 meters width – 8 meters. You want to determine the volume (number of cubic metres) rooms.

Solution.

Km3 = 2,5 * 10 * 8 = 200 cubic meters.

The room has a ceiling height of 2.5 metres, length – 10 meters width – 8 meters. You want to determine the volume (number of cubic metres) rooms.

Solution.

Km3 = 2,5 * 10 * 8 = 200 cubic meters.

# Advice 2 : How to calculate the volume of the box

Suppose you face the task: how many boxes can be placed in the trunk of your car, if the volume is already known? The task is simple: calculate the volume of each box separately, fold and get the full volume of your shipment. Now you have to solve the minimum problem: calculate the volume of the box.

You will need

- Tape measure or ruler
- Box
- Formula to calculate area of rectangle and volume of a parallelepiped

Instruction

1

By definition, geometric solids, box is a rectangular parallelepiped or a cube if all its sides are equal. According to a calculation formula of the volume of the parallelepiped is equal to the product of the area of the base to the height.

2

For our example the base of the box, we assume the line which it is on the surface. Let's call it a face ABCD along her sides.

3

According to the theorem the area of a rectangle equals the product of its two sides. Footprint find by measuring two mutually perpendicular sides: AB and BC. Or AD and CD, what is the same, because the parallel sides of a rectangle are equal.

4

The height of the parallelepiped in this case is the edge of the face AE. Finally calculated the volume of the box the formula for the volume of a parallelepiped: (see Fig.

5

This calculates the volume of the box having the form of a rectangular parallelogram, each face of which has the shape of a rectangle. The volume of the box in any other shape will be calculated according to other formulae.

Note

If you plan to fill boxes the trunk of a car, keep in mind that, typically, the trunk has an irregular geometric shape and computing to fill its boxes are approximate.

Useful advice

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

# Advice 3 : How to calculate the volume of the room

Volume — a quantitative characteristic of the space. The amount of space is determined by its shape and linear dimensions. The volume is closely related to the concept of capacity, i.e. the volume of the internal space of the vessel, packing box, etc. the Accepted units of measure — measurements SITMA C and derivatives from it — cubic meter m3, cubic centimeter, liter.

You will need

- To measure the amount of space you will need a tape measure, sheet of paper, calculator, pen.

Instruction

1

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

2

Now proceed to the calculation of the volume of the room. Measure the length of one wall (long wall),then measure the length of the second wall (short wall). The measurements were performed on the floor at skirting.Tapes hold it steady. Now measure the height of the room, to do this go to one of its corners, and precisely measure the height of the corner from floor to ceiling. The received data write down on a piece of paper not to forget. Now move on to compute: multiply the length of the long wall to the short wall length, the obtained result (number)multiply by the height and you will get the desired result. The volume of the premises calculated in different cases: 1) in case of purchase of air conditioner, because air conditioners are designed for a certain amount of space; 2) the installation of radiators in the rooms, as the number of sections in the radiator depends on the volume of the room.

3

If you have a room of irregular shape, that is, consists of like a big box and small. In this case, it is necessary to measure the volume of each of them separately and then folded. If your room has an alcove (a niche with a semicircular shape), then its volume needs to be calculated by the following formula volume of a cylinder. The volume of any cylinder is equal to the product of the area of the base to the height: V=π r2 h, where π is the number PI = 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 as if the whole cylinder, then see what part of this cylinder is your alcove,subtract from the total amount of the excess.

Useful advice

When measurement of the radius of the alcove, use the needle and thread, a needle stick in an imaginary center of the cylinder and pull the string to the wall, then measure its length.

# Advice 4 : How to calculate cubic volume

Cubic volume is a characteristic of a body, showing its ability to accommodate a certain number of cubes of a substance or gas. To calculate the cubic volume very easily.

Instruction

1

From the definition it is clear that the volume of any hollow body is conventionally defined by its ability to accommodate a certain amount of any kind of matter. If the cube refers to the cube, the size of the fin is 1 cm, that is talking about cubic inches. If the size of the cube is 1 m, here we are talking about the volume, measured in cubic metres. Similarly, the volume can be measured in cubic millimeters, decimeters or other measures, depending on the size of the cube.

2

Now that you know what is the cubic volume of any body, you can proceed directly to calculations. Formula with which to calculate the cubic volume of the most common volumetric bodies presented below:

V = c3 is the volume of a cube, c is the size of the edge of this cube;

V = S*h - the volume of the prism, S is the area of its base and h is its height;

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

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

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

V = (S*h)/3 is the volume of a pyramid, S is the area of its base and h is its height;

V = (π*r2*h)/3 is the volume of a cone.

V = c3 is the volume of a cube, c is the size of the edge of this cube;

V = S*h - the volume of the prism, S is the area of its base and h is its height;

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

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

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

V = (S*h)/3 is the volume of a pyramid, S is the area of its base and h is its height;

V = (π*r2*h)/3 is the volume of a cone.

3

For illustrative purposes and clarity we can consider several examples.

Example 1: you are Given a pyramid, the base area of which is equal to 60 cm2 and its height is 20 cm, it is required to find the cubic volume of the pyramid. To solve these tasks you will need to use one of the above formulas:

V = (60*20)/3 = 400 cm3

Answer: the cubic volume of the pyramid is 400 cm3

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

Looking at the list of formulas given above, you need to find necessary and apply it:

V = 140*60 = 8400 m3

Answer: cubic the volume of this prism is equal to 8400 m3

Example 1: you are Given a pyramid, the base area of which is equal to 60 cm2 and its height is 20 cm, it is required to find the cubic volume of the pyramid. To solve these tasks you will need to use one of the above formulas:

V = (60*20)/3 = 400 cm3

Answer: the cubic volume of the pyramid is 400 cm3

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

Looking at the list of formulas given above, you need to find necessary and apply it:

V = 140*60 = 8400 m3

Answer: cubic the volume of this prism is equal to 8400 m3

# Advice 5 : How to find the volume of the barrel

It was difficult to understand why the old

**barrels**had such "big-bellied" form. It's not in the delights of the ancient designers. In principle, this would fit and capacity of the truncated-conical in shape and easier to collect and the amount of such**barrels are**easy to find. But it is unlikely that barrel was far to drive...You will need

- - the range;
- calculator;
- - twine.

Instruction

1

Before you calculate the volume

**of the barrel**, carefully inspect it. Modern**barrels are**usually manufactured industrially. So they have a standard volume that is certainly somewhere specified. The capacity**of the barrel**(or its contents) can also be found in accompanying documents (waybills, invoices, etc.).2

In some cases, the volume is easier to determine experimentally. To do this, take a bucket of known capacity and just fill the barrel with water, counting the number of buckets. If some of the water from the last bucket will not fit in the barrel, measure the amount of "extra" water liter jar and subtract from the total volume, obtained by measuring the buckets.

3

Most modern metal and plastic casks are cylindrical in shape. To find the volume of this

**barrel**, measure its height and diameter. Try to measure the internal diameter**of the barrel**, if you are interested in the capacity of**barrels**, and not how much space the barrel is in the cellar. Then, multiply the height**of the barrel**(in meters) by the square of the diameter (in meters) then multiply by the number PI (3,14) and divide by 4. If the barrels much, in advance, divide PI by 4 and multiply the resulting factor by the height and the square of the diameter. As a formula this rule would resemble the following:Vцб = π/4 * D2 * Neely Vцб ≈ 0,785 * D2 * H where:Vцб – the volume of the cylindrical**barrel**,D – inner diameter of the bottom/cap**of the barrel**.π is the number PI, approximately equal to 3.14.4

To measure the diameter

**of the barrel**, take a piece of string and fix one of its ends on the edge**of the barrel**. Then look at the opposite edge**of the barrel**most distant point and mark it on the string (for example, tie the knot). Measure the length of string using the ruler or tape measure. Write the result in meters as a decimal. When measuring the height**of the barrel**problems should arise. However, note that some**barrels**have a "soaring" bottom, so you need to measure the inner height**of the barrel**.5

If the lid

**of the barrel**in any way specify its center (e.g., in the center is a hole for drainage), instead of diameter measure the radius**of the barrel**. The formula to calculate the volume**of the barrel**in this case will be the same: Vцб = π * R2 * H where:R is the radius of the bottom/cap**of the barrel**,6

If no diameter or radius

**of the barrel**is impossible to measure (e.g.,**barrels**are several "floors"), then determine its "girth" . To do this, take the twine and wrap it around the**barrel**.Since circumference is calculated by the formula:L = π * D, where: L – the circumference (the circumference)**of the barrel**,the diameter of the**barrel**will be equal to the circumference divided by π:D = L / π.This leads to a simple formula:Vцб = L2/4π * Neely Vцб = L2/12,566 * H,7

To find the volume of this wooden

**barrels**, use a practical formula that applies the majority of winemakers:Vкб = 3,2 * r * R * H where:Vкб – volume classic**barrel**r is the radius of the bottom/cap**of the barrel**, R is the radius of the widest part (the middle)**of the barrel**.8

So how to measure the radius of the widest part

**of the barrel**is problematic, it is better to use the formula:Vкб = 0,8 * d * D * H. where:d – diameter of the bottom/cap**of the barrel**, D – diameter of the widest part (the middle)**of the barrel**.# Advice 6 : How to find cubic meter

When solving problems related to measurement of volume, usually used a standard unit of measurement of this quantity is the cubic meter. In cubic yards, I think the volume (cubic capacity) of premises, consumption of water and gas, the amount of certain materials. Since a cubic meter is the standard international physical unit (SI) of measurement of volume, usually translated and other non-si units (liters, cubic centimeters and cubic decimeters)

You will need

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

Instruction

1

If the volume of the physical body (container, space), but is given in non-si units, simply multiply by the appropriate core factor. For example, to find the cubic meters, knowing the number of liters or cubic decimeters, multiply the number of litres per mil (or part per thousand).

2

If the volume is specified in cubic centimeters, then multiply it by one millionth (0,000001). If the volume is measured in cubic millimeters, to translate to cubic yards, multiply this number by one billion (0,000000001)

3

Example: to find the number of cubic meters of domestic gas, contained in a standard "propane" tank.

Solution: the volume of a regular cylinder is 50 litres. Multiply this number by 0.001 – 0.05 m3 will receive.

Answer:the volume of a gas cylinder is 0.05 cubic meters.

Note. The gas in the cylinder is liquefied under high pressure, therefore, its volume is much more.

Solution: the volume of a regular cylinder is 50 litres. Multiply this number by 0.001 – 0.05 m3 will receive.

Answer:the volume of a gas cylinder is 0.05 cubic meters.

Note. The gas in the cylinder is liquefied under high pressure, therefore, its volume is much more.

4

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

5

Often, in practice, to find the number of cubic meters of helps form of the subject (capacity building). For example, if the body is a rectangular parallelepiped (standard carton, piece), then its volume will be equal to the product of length, width and height (thickness) of the subject.

6

If the base object has a more complex shape, but a constant height, then multiply the square base to the height. For example, for cylinder a square base will be equal to PI R squared (πr2), where r is the radius of the circle lying at the base.