The cubic capacity of a room is usually understood as its volume, expressed in cubic meters. If we know the basic parameters of the room (length, width and height), then it is very primitive to calculate its cubic capacity. However, if the structure has a difficult shape, then it can be quite difficult to calculate its volume.
You will need
- calculator
Instruction
1. To calculate the cubic capacity of a room, multiply its length, width and height. That is, use the formula: K \u003d L x W x H, where: K is the cubic capacity of the room (volume expressed in cubic meters), D, W and H are the length, width and height of the room, expressed in meters, respectively. Let's say if the length of the room is 11 meters, the width is 5 meters, and the height is 2 meters, then its cubic capacity will be 11 x 5 x 2 = 110 cubic meters.
2. If one or more collations of the room are unfamiliar, then measure them using a construction tape measure or an electronic rangefinder. When using an electronic range finder, make sure that it is directed strictly perpendicular to the wall, the distance to which is measured. In order to increase the accuracy of calculations, measure the height and width twice - at opposite walls, and then find the arithmetic mean (add and divide by 2).
3. Let, say, the measurements of the length of the room show 10.01 m and 10.03 m, the measurements of the width - 5.25 m and 5.26 m, and the measurement of the height - 2.50 m. In this case, the cubic capacity of the room will be: ( 10.01 + 10.03) / 2 x (5.25 + 5.26) / 2 x 2.5 \u003d 131.638 (in most cases, 3 decimal places are absolutely enough).
4. If you know the area of \u200b\u200bthe room, then to calculate the cubature, easily multiply this area by the height. That is, use the formula: K = P x V, where P is the area of \u200b\u200bthe room, given in square meters (m?). So, let's say, if the area of the room is 100 square meters, and its height is 3 meters, then its the volume will be: 100x3 = 300 (cubic meters).
5. If the room has a difficult shape, then to determine its area, use the appropriate geometric formulas or divide the room into more primitive sections. So, say, the circus arena invariably has the shape of a circle with a radius of 13 meters. Consequently, its area will be equal to? R? \u003d 3.14 x 169 \u003d 531 (square meter). If, say, the room consists of 3 rooms with an area of \u200b\u200b30, 20 and 50 m ?, then the total area of \u200b\u200bthe room will be 100 m? .
The average arithmetic - the main representation used in many branches of mathematics and its applications: statistics, probability theory, economics, etc. The average arithmetic can be defined as a general representation of the average.
Instruction
1. The average the arithmetic of a set of numbers is defined as their sum divided by their number. That is, the sum of all the numbers in the set is divided by the number of numbers in this set. An especially primitive case is to find the arithmetic mean of 2 numbers x1 and x2. Then their arithmetic mean X = (x1+x2)/2. Let's say X = (6+2)/2 = 4 is the arithmetic mean of the numbers 6 and 2.
2. The general formula for finding the arithmetic mean of n numbers will look like this: X = (x1+x2+…+xn)/n. It can also be written in the form: X = (1/n)?xi, where the summation is carried out over the index i from i = 1 to i = n. For example, the arithmetic mean of 3 numbers X = (x1+x2+x3)/3 , five numbers - (x1+x2+x3+x4+x5)/5.
3. Of interest is the situation when a set of numbers are members of an arithmetic progression. As you know, the members of the arithmetic progression are equal to a1+(n-1)d, where d is the step of the progression, and n is the number of the progression member. Let a1, a1+d, a1+2d,…, a1+(n-1)d be the members arithmetic progression. Their arithmetic mean is 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 the members of an arithmetic progression is equal to the arithmetic mean of its first and last members.
4. Also objective is the quality that the entire member of the arithmetic progression is equal to the arithmetic mean of the previous and subsequent member of the progression: an = (a(n-1)+a(n+1))/2, where a(n-1), an, a( n+1) are consecutive members of the sequence.
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Note!
To find the arithmetic mean of several numbers, add them together. After this, the resulting amount should be divided by the number of terms. To make it more clear, let's figure out together how to find the arithmetic average of numbers, for example: 78, 115, 121 and 224. Arithmetic average of several numbers: find with Excel support.
Helpful advice
The value we calculated is called the arithmetic mean or primitive mean. Definition. The arithmetic mean of several numbers is a number equal to the ratio of the sum of these numbers to their number. Not only the arithmetic mean shows where on the number line the numbers of some set are located. Another indicator is the median - the number that divides the given set into two parts, identical in number. Let us explain with examples how to find the medians of different sets of numbers.
If you are going to sell an apartment, make repairs in a room, change the interior and furniture, you will often have to answer the question: “What is the area of a room in an apartment?” And the approximate figure is inappropriate here. A sofa that does not fit into a corner, a lack of linoleum or carpet, can ruin your well-being for a long time. There are errors in the documentation for the apartment. So that troubles pass by, take care of determining the area of \u200b\u200bthe room independently.
You will need
- - tape measure or measuring tape;
- - pencil.
Instruction
1. If the room is a typical rectangle, it will take you every couple of minutes to calculate the area. Measure the length of the room and the width of the room. Then multiply the two numbers. Let's say the length of the room turned out to be 5.2 m, and the width was 3.5 m. Then the area of the room is 18.2 m.
2. If the room is not a square or a rectangle, but has a more difficult shape, the calculations are just as primitive. Divide the room into rectangular parts (for example, a niche and the room itself). In a similar way, calculate the area of \u200b\u200bthe entire space and add the two numbers. If the area of the room was 14 m, and the niches were 4 m, then the area of each room is 18 m.
3. In new buildings, there are rooms that are hefty difficult and completely non-standard in shape. In this case, it is better to use the services of BTI experts. If you are full of courage to cope with the work on your own, try to divide the room into shapes familiar to you: triangles, squares, trapeziums. Use the online service to calculate the area of difficult figures. Enter the numbers, get the total.
Helpful advice
If you are renovating a room, measuring the area of the room accurately will save you from miscalculations and save you a lot of money.
A circle is a part of a plane bounded by a circle. Like a circle, circle has its own center, length, radius, diameter, as well as other collations. In order to calculate length circle, you will need to do a few primitive steps.
You will need
- Depending on the situation, you may need to know either the radius or the diameter of the circle.
Instruction
1. Before everyone, it is worth realizing what data will need to be operated in order to detect length circle. Possible, given a circle whose radius is equal to R. The radius of the circle ( circle) is a segment, the one that unites the center of the circle ( circle) with any of the points of the given circle. If a circle is given, the radius of which is unknown, then the condition of the problem will not mention the radius, but the diameter of this circle, the one that is conditionally equal to D. In this case, it is worth remembering that the length of the radius is equal to half the length of the diameter. The diameter is a segment connecting any two opposite points of a circle that limits the plane, forming a given circle, while this segment passes through the center of a given circle. circle .
2. Having dealt with the initial data for the problem, it is allowed to use one of the 2 formulas for finding the circumference / circle:C = ?*D, where D is the diameter of the given circle;C = 2*?*R, where R is its radius.
3. It is allowed to see examples. Example 1: Given a circle with a diameter of 20 cm, you need to find it length. To solve this problem, you will need to use one of the formulas indicated above: C \u003d 3.14 * 20 \u003d 62.8 cm Answer: the length of this circle is 62.8 cm Example 2: Given a circle with a radius of 10 cm, you need to calculate it length. Based on the fact that the radius circle famous, it is allowed to use the 2nd formula: C \u003d 2 * 3.14 * 10 \u003d 62.8 cm The answers are the same, the radii of the circles given in the examples are equal.
Note!
? is a continuous value, which is considered equal to 3.14. This constant is not rounded if high accuracy is required. This is central to architecture, mechanics, physical computing, and many other areas. Then? = 3.1415926535
When designing any premises rigorously calculated square. To find out square premises, it is allowed to look and find it in the relevant documentation. If such documentation is not available, it is allowed to calculate independently with the support of measuring instruments.
You will need
- Roulette or laser rangefinder, goniometer
Instruction
1. If the room is a rectangle, with the help of a tape measure (it is advisable to take a more accurate laser device), measure the length and width premises in meters, then multiply from the value. The result will be square given premises. Some models of rangefinders calculate areas mechanically.
2. Some premises have the shape of a circle. In order to discover them square, discover the largest chord of this circle, which is the diameter. After that, square the resulting value, multiply by 3.14 and divide by 4.
3. If the room has a difficult shape, break it into several sections with a simplified shape. These can be rectangles of a part of a circle or triangles (most often each is rectangular). Discover square any of the elements premises separately, then put them together. The result will be square everyone premises .
4. If there is a part in the room that is a right triangle, measure its legs, find their product and divide it by 2. The result will be square this geometric figure.
5. When the part premises is a circle segment, calculate it square. To do this, with the help of a range finder, find the radius of curvature of this sector. This can be done by choosing a point from which it is possible to describe the sector with a segment of the same length (radius). Measure this radius, as well as the angle at which the section is visible in radians. If the goniometer measures angles in degrees, divide 3.14 by 180 and multiply by the measure of the angle to get the angle measured in radians. After that, subtract its sine from the resulting angle, multiply the resulting number by the square of the radius, and divide by 2 (S=(?-sin(?)) r?/2).
6. When measuring linear values in meters, get the result in m?, knowing it, it is possible to easily calculate the number of building materials or flooring that are used in the repair of premises.
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