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 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 3: 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.