You will need

- calculator

Instruction

1

To calculate the cubic capacity of the room, multiply its length, width and height. That is, use the formula:

K = l x W x h, where:

To the cubic capacity of the room (volume, expressed in cubic meters),

D, W and length, width and height, expressed in meters, respectively.

For example, if the length of the room is 11 meters width – 5 meters height – 2 meters, its volume will be 11 x 5 x 2 = 110 cubic meters.

K = l x W x h, where:

To the cubic capacity of the room (volume, expressed in cubic meters),

D, W and length, width and height, expressed in meters, respectively.

For example, if the length of the room is 11 meters width – 5 meters height – 2 meters, its volume will be 11 x 5 x 2 = 110 cubic meters.

2

If one or more characteristics of the room are unknown, measure them, using a construction tape measure or electronic distance meter. When using the electronic rangefinder sure that it was directed strictly perpendicular to the wall, the distance to which is measured. To improve the accuracy of calculations, the height and width measure twice, on opposite walls, and then find the arithmetic average (add and divide by 2).

3

Suppose, for example, measuring the length of the room showed 10,01 10,03 m and m, measure the width of 5.25 m and of 5.26 m and the measurement height is 2.50 m. In this case, the cubic capacity of premises will be equal to:

(Of 10.01+10,03)/2 x (5,25+5,26)/2 x 2.5 = 131,638

(in most cases, three decimal places is enough).

(Of 10.01+10,03)/2 x (5,25+5,26)/2 x 2.5 = 131,638

(in most cases, three decimal places is enough).

4

If lime area of the premises, the aggregate cubic content just multiply this area by height. Ie, use the formula:

K = P x, where

P – the area of the premises specified in square meters (m2).

For example, if the floor area is 100 square meters, and its height is 3 meters, then its volume will be:

100х3=300 (cubic meters).

K = P x, where

P – the area of the premises specified in square meters (m2).

For example, if the floor area is 100 square meters, and its height is 3 meters, then its volume will be:

100х3=300 (cubic meters).

5

If the room has a complex shape, in order to determine its area using the appropriate geometric formulas or divide the room into smaller areas.

For example, the arena of the circus always has a shape of a circle with radius 13 meters. Therefore, its area is equal to πR2=3,14 x 169 = 531 (square meter).

If, for example, a room consists of three rooms with an area of 30, 20 and 50 m2, then the total area will be 100 m2.

For example, the arena of the circus always has a shape of a circle with radius 13 meters. Therefore, its area is equal to πR2=3,14 x 169 = 531 (square meter).

If, for example, a room consists of three rooms with an area of 30, 20 and 50 m2, then the total area will be 100 m2.

# Advice 2: How to calculate arithmetic mean

**Higher**arithmetic - an important concept used in many branches of mathematics and its applications: statistics, probability theory, Economics, etc.

**Average**an arithmetic can be defined as the General notion of average.

Instruction

1

**The average**arithmetic mean of a set of numbers is defined as their sum divided by their number. The sum of all numbers of the set divided by the number of numbers in this set.The most simple case is to find the arithmetic mean of two numbers x1 and x2. Then their arithmetic mean X = (x1+x2)/2. For example, X = (6+2)/2 = 4 - the arithmetic mean of the numbers 6 and 2.

2

The General formula for finding the arithmetic mean of the n numbers would look like this: X = (x1+x2+...+xn)/n. It can also be written as: X = (1/n)?xi, where the summation is for index i from i = 1 to i = n.For example, the arithmetic mean of three numbers X = (x1+x2+x3)/3, five numbers is (x1+x2+x3+x4+x5)/5.

3

Interest is the situation when the set of numbers represents the members of an arithmetic progression. As you know, members of the arithmetic progression is a1+(n-1)d, where d is the step of progression and n is the number of the member of progression.Let a1, a1+d, a1+2d,..., a1+(n-1)d - members of an arithmetic progression. Their arithmetic mean is equal to S = (a1+a1+d+a1+2d+...+a1+(n-1)d)/n = (na1+d+2d+...+(n-1)d)/n = a1+(d+2d+...+(n-2)d+(n-1)d)/n = a1+(d+2d+...+dn-d+dn-2d)/n = a1+(n*d*(n-1)/2)/n = a1+dn/2 = (2a1+d(n-1))/2 = (a1+an)/2. Thus the arithmetic mean of members of an arithmetic progression is equal to the arithmetic mean of its first and last members.

4

It is also true the property that each member of an arithmetic progression is equal to the average between the previous and the next member of the progression: an = (a(n-1)+a(n+1))/2 where a(n-1), an, a(n+1) successive members of the sequence.

Note

To find the arithmetic mean of several numbers is to be folded between them. Thereafter, the resulting amount will be divided by the number of terms. To make it clearer, let's look at how to find average of numbers, for example: 78, 115, 121 and 224. The arithmetic mean of several numbers found using Excel.

Useful advice

The calculated value is called arithmetic average or just average. Definition. The average of several numbers is the number equal to the ratio of the sum of these numbers to their number. Not only arithmetic mean shows where on the number line are the numbers of some set. Another indicator is the median a number that separates this set into two parts of equal size. Explain with examples how to find the median of various sets of numbers.

# Advice 3: How to calculate the area of a room

If you are going to sell the apartment, to make repairs in the room, change the interior and furniture, often have to answer the question: "What is the area of the room in the apartment?" And an approximate figure is irrelevant here. The sofa does not fit into the corner, the lack of linoleum or carpet that can permanently ruin the mood. There are errors in the documentation for the apartment. To trouble passed, get the definition of the area of the room alone.

You will need

- - the tape or the tape;
- pencil.

Instruction

1

If the room is a classic rectangle, you only need a few minutes to calculate the area. Measure the room's length and width of the room. Then, multiply the two numbers. For example, the length of the room was a 5.2 m and width 3.5 m. Then the area of the room is equal to 18.2 m.

2

If the room is not a square or rectangle, and has a more complex form, the calculation is simple. Divide the room into rectangular pieces (for example, a niche and the room itself). In a similar way calculate the area of each space and add two numbers. If the room area was 14 m, and niche – 4 m, the area of the entire room is 18 m.

3

In new buildings, there are rooms are very complicated and irregular shape. In this case it is better to use the services of specialists BTI. If you are determined to cope with the job yourself, try to divide the room into familiar shapes: triangles, squares, trapezoids. Use the online service for calculating area of complex shapes. Enter the numbers, get the result.

Useful advice

If you started repairs in the apartment, the accuracy in the measurement area of the room will save you from pitfalls and save a lot of money.

# Advice 4: How to calculate the length of a circle

The circle represents a part of the plane bounded by a circle. Like the circle,

**the circle**has its center, length, radius, diameter, and and and other characteristics. In order to calculate**the length****of the circle**, you will need to do some simple actions.You will need

- Depending on the situation you might need to know either the radius or diameter of a circle.

Instruction

1

First and foremost is to understand what data will be manipulated in order to find

**the length****of the circle**. For example, given a circle whose radius is equal to R. the radius of the circle (**the circle**) is a segment that unites the center of the circle (**the circle**) with any of the points of the circle. If given a circle whose radius is unknown, then the problem will be referred to is not the radius but the diameter of this circle, which is conventionally equal to D. In this case, it is worth remembering that the radius length equal to half the length of the diameter. Diameter is a segment that connects any two opposite points together of the circumference, which restricts the plane, forming the circle, while the segment passes through the center of this**circle**.2

Having dealt with the source task data, you can use one of two formulas for finding the circumference of a circle/

C = π*D, where D is the diameter of this

C = 2*π*R, where R is the radius.

**circle**:C = π*D, where D is the diameter of this

**circle**;C = 2*π*R, where R is the radius.

3

You can consider the examples.

Example 1: Given a circle whose diameter is 20 cm, it is required to find its

C = 3.14*20 = 62.8 cm

Answer: the length of this

Example 2: Given a circle whose radius is 10 cm, is required to compute its

C = 2*3.14*10 = 62.8 cm

The answers are the same, because the radii of the circles given in the examples are equal.

Example 1: Given a circle whose diameter is 20 cm, it is required to find its

**length**. To solve this problem you will need to use one of the formulas mentioned above:C = 3.14*20 = 62.8 cm

Answer: the length of this

**circle**is 62.8 cmExample 2: Given a circle whose radius is 10 cm, is required to compute its

**length**. Assuming that the radius**of the circle**is known, you can use the second formula:C = 2*3.14*10 = 62.8 cm

The answers are the same, because the radii of the circles given in the examples are equal.

Note

PI is a constant value which is equal to 3.14. This constant is not rounded in that case, if you require high accuracy calculations. This is important in architecture, mechanics, physical computing, and many other areas. Then π = 3.1415926535