We calculate the area of ​​\ u200b \ u200bthe bathroom for laying tiles: examples of calculations. How to correctly and quickly calculate the square meters of walls, floor and ceiling? The volume of the room according to the formula, complex shapes Room area: calculating the floor area

If you are planning to make a renovation, the first thing you need to do is plan a budget. renovation works, and for this, in turn, you need to know how much building and finishing materials will be needed, provided, of course, that you have already decided on the design project and know exactly where the tiles will be installed, which walls will "go for painting" or textured plaster, and where the built-in wardrobe will be located.

Interested in the cost of repair services, you will notice that all prices are usually "tied" to square meters. Actually, the budget for renovating an apartment is directly related to the area of ​​your square meters. So we come to the main question of our article - how to calculate square meters?

Take a close look at your room. The room consists of walls, floor and ceiling, it also has windows and doors. So you will need to calculate the area of ​​all surfaces that will be subject to repair work, taking into account all the additional components, which are windows and doors.

Each of the walls, as well as the ceiling and floor, are either square or rectangular. Walls have width and height, floor and ceiling have length and width, measured in meters. How to calculate square meter?

So, the area of ​​a rectangular or square surface is calculated by the formula:

S = a x b, where

a and b are the sides of the rectangle (walls, ceiling, floor).

Suppose your room is 6 meters long and 4 meters wide, then:

• the floor area of ​​the room will be equal to 24 square meters:

Now let's calculate the area of ​​the rooms along the walls. Suppose your ceiling height is 3 meters, then:

• the area of ​​the room along one wall will be equal to 18 square meters

• the area of ​​the room on the other wall will be equal to 12 square meters

• the area of ​​the four walls is 60 square meters

S = (18 + 12) x 2

How to count square meters, you already know. But for repairs and an accurate calculation of the area, for example plastering, you need to calculate from the total area of ​​the walls the area that windows and doors occupy. After all, they do not need to be plastered or putty.

Similarly, calculate the area of ​​the rectangle that the windows and doors occupy. Suppose the height of the door is 2 meters and the width is 0.90 m, then:

• the area of ​​the door leaf is 1.8 square meters

We consider the area occupied by the window opening. If the height of the window is, say, 1.5 meters, and the width is 1.6 meters, then:

• the window area in our example is 2.4 square meters

If the room has one door and one window, then the area occupied by the windows and doors must be subtracted from the total area of ​​the walls:

S = 60 - 1.8 - 2.4

So, the total area of ​​the walls is 55.8 square meters, the floor and ceiling area is 24 square meters.

Igor Voropaev

Expert commentary

Igor Voropaev - leading lawyer of Prosper-Consulting
PropertyExperts Portal Consultant

I have been working in a construction company for several years and go out to measure the dimensions of premises almost every day. Anyone who plans to use the services of our company, before starting work, it is imperative to call a specialist and measure the geometric perimeter, determine the shape of the room (maybe even a triangle), the number of simple and complex shapes (protrusions, niches), and also determine the values ​​of other quantities in cubic and running meters.

If it is an exterior finish, the roof and the entire structure are also measured. A student also comes and performs calculations (it may take several minutes, since it is necessary to multiply the measurements). After translating the indicators and units, he will present a quick final result with the presence of the correct dimensions for which the cost of conducting various works(number of rolls of paper, lining, bathroom coatings, putty weight).

Based on these data, the total cost of work will be set. We do not charge for this work if the repair is ordered from us. It is in this case that it is excluded that there will be problems with materials or the amount of work, which is convenient for everyone.

Periodically, we need to know the area and volume of a room. This data may be needed when designing heating and ventilation, when purchasing building materials and in many other situations. It is also periodically required to know the area of ​​the walls. All these data are calculated easily, but first you have to work with a tape measure - measure all the required dimensions. How to calculate the area of ​​a room and walls, the volume of a room, and will be discussed further.

Room area in square meters

• Roulette. Better - with a retainer, but the usual one will do.
• Paper and pencil or pen.
• Calculator (or count in a column or in your head).

A simple set of tools can be found in every household. It is easier to take measurements with an assistant, but you can do it yourself.

First you need to measure the length of the walls. It is advisable to do this along the walls, but if they are all lined with heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape of the tape lies along the walls, and not obliquely - the measurement error will be less.

Rectangular room

If the room is of the correct shape, without protruding parts, it is easy to calculate the area of ​​the room. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, after the comma, put centimeters. For example, length 4.35 m (430 cm), width 3.25 m (325 cm).

We multiply the found numbers, we get the area of ​​the room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this value, usually two digits are left after the decimal point, which means we round off. In total, the calculated area of ​​the room is 14.14 square meters.

Irregular room

If you need to calculate the area of ​​a room of irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then they measure all the required dimensions, make calculations according to the well-known formulas (there is in the table just below).

One of the examples is in the photo. Since both are rectangles, the area is calculated using the same formula: the length is multiplied by the width. The figure found must be subtracted or added to the size of the room - depending on the configuration.

Complex room area

1. We consider the square without a ledge: 3.6 m * 8.5 m = 30.6 sq. m.
2. We consider the dimensions of the protruding part: 3.25 m * 0.8 m = 2.6 sq. m.
3. We add two values: 30.6 sq. m. + 2.6 sq. m. = 33.2 sq. m.

There are also rooms with sloping walls. In this case, we split it so that we get rectangles and a triangle (as in the picture below). As you can see, this case requires five sizes. It was possible to break it down in a different way by placing a vertical rather than a horizontal line. It does not matter. You just need a set of simple shapes, and the way you select them is arbitrary.

In this case, the order of calculations is as follows:

1. We consider the large rectangular part: 6.4 m * 1.4 m = 8.96 sq. m. If we round up, we get 9, 0 sq. m.
2. We calculate the small rectangle: 2.7 m * 1.9 m = 5.13 sq. m. Rounding up, we get 5.1 square meters. m.
3. We consider the area of ​​the triangle. Since it has a right angle, it is equal to half the area of ​​a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1.235 sq. m. After rounding, we get 1.2 square meters. m.
4. Now we add everything to find the total area of ​​the room: 9.0 + 5.1 + 1.2 = 15.3 sq. m.

The layout of the premises can be very varied, but general principle you understand: we divide into simple shapes, measure all the required sizes, calculate the squaring of each fragment, then add everything up.

Another important note: the area of ​​the room, floor and ceiling are all the same size. Differences can be if there are some semi-columns that do not reach the ceiling. Then the quadrature of these elements is subtracted from the total quadrature. As a result, we get the floor area.

How to calculate the squaring of walls

Determination of the area of ​​the walls is often required when purchasing finishing materials - wallpaper, plaster, etc. This calculation requires additional measurements. To the already existing width and length of the room, you will need:

• ceiling height;
• height and width doorways;
• height and width of window openings.

All measurements are in meters, since it is customary to measure the squaring of walls in square meters.

Since the walls are rectangular, then the area is considered as for a rectangle: we multiply the length by the width. In the same way, we calculate the dimensions of windows and doorways, subtract their dimensions. For example, let's calculate the area of ​​the walls shown in the diagram above.

1. Wall with door:
   • 2.5m * 5.6m = 14 sq. m. - the total area of ​​the long wall
   • how much does the doorway take: 2.1 m * 0.9 m = 1.89 sq.m.
   • wall excluding doorway - 14 sq.m - 1.89 sq. m = 12.11 sq. m
2. Wall with window:
   1. square of small walls: 2.5 m * 3.2 m = 8 sq.m.
   2. how much the window takes: 1.3 m * 1.42 m = 1.846 sq. m, we round up, we get 1.75 sq.m.
   3. wall without window opening: 8 sq. m - 1.75 sq.m = 6.25 sq.m.

Finding the total area of ​​the walls is not difficult. Add up all four numbers: 14 sq. M + 12.11 sq. M. + 8 sqm + 6.25 sqm = 40.36 sq. m.

Room volume

Some calculations require the volume of the room. In this case, three quantities are multiplied: width, length and height of the room. This value is measured in cubic meters (cubic meters), also called cubature. For example, we use the data from the previous paragraph:

• length - 5.6 m;
• width - 3.2 m;
• height - 2.5 m.

If we multiply everything, we get: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. So, the volume of the room is 44.8 cubic meters.

Are you planning to buy or sell an apartment, furnish it, or are you just starting a renovation? In any such case, the price of the issue depends on the exact dimensions of each individual room. You can hire specialists to carry out the calculations, but this will entail additional costs. To avoid them, we suggest that you figure out how to calculate the area yourself.

How to calculate the area of ​​a room - step by step instructions

When calculating the area, you need to know the length, width and height of the room.

You can, of course, look into technical documentation at home and see all the necessary characteristics in it. But, firstly, there are often errors, and secondly, sometimes it’s easier to calculate everything yourself than to find documents.

To carry out the calculations, we need certain tools, most of which can be easily found in every home. Namely:

• roulette;
• pencil;
• note paper;
• calculator (you can use the calculator posted on our website);
• sobriety of mind and clarity of thought.

Floor

It is better to take measurements at the base of the walls, and for this it is advisable to move or take out all the furniture. But, if such a procedure was not included in your plans, you can measure it in the center. The main thing is that the imaginary line along which the measurement will be made is located at an angle of 90 ° to the wall.

After the measurement data are obtained and verified, they must be multiplied by the formula, where S is the area in square meters, a and b are the length and width, respectively.

If there is a niche or some other adjacent to the main room, its area must be calculated using the same algorithm, and the results added to the area of ​​the room. If there are various protrusions that occupy a part of it, they should also be measured and the result obtained is subtracted from the total.

It's simple with squares and rectangles. But how to count if it has an irregular shape? Here you have to apply logical thinking, and a little to remember the school course in algebra and geometry. But let's start in order.

Calculator

If the room is irregular

Try mentally or on paper to divide the room into simple elements (squares, rectangles, triangles). Next, you will need to calculate the size of each of them, and add the results.

• for a triangle -. Where a is the length of the base of the triangle, b is the height drawn from the top to the base;
• for a circle -. Where 3.14, r is the radius of the circle (to find out the radius - use a tape measure to find the longest distance between the walls and divide it by 2);
• for a semicircle - (the letter designations are the same as the previous paragraph).

As it turned out, in this case there is nothing complicated either. The main thing is to carefully check the measurement results so that an accidental error does not creep into the calculations, and they do not have to be repeated.

And further. If you want to make installation, do not forget to separately calculate the area occupied by the furniture and subtract it from the total value for the room.

We figured out the floor. But when preparing, for example, for re-gluing wallpaper, this will not help you much. You will need to find out the exact number of square meters that the walls occupy.

Walls

The area of ​​each individual wall can be calculated in the same way as the square of the floor. Only now, instead of the width of the room, it will be necessary to measure its height. We multiply the length of the wall by the height and get the result we need in square meters.

And you can calculate for all walls at once. To do this, you need to know the perimeter of the space. Take a tape measure and measure the length of each wall, add the results - this will be the perimeter. It remains to measure the height of the room and use the following formula: where p is the perimeter and h is the height.

Now you need to deal with the window, door and other openings present in the room.

To obtain accurate figures, builders recommend measuring the wall in three locations(at the beginning, middle and end). After that, the data obtained should be summed up and divided by 3 and thus the arithmetic mean is calculated. This procedure helps to avoid errors, even if.

When measuring window and door ones, you should not calculate the correctness of their shape.

It is better to measure all four sides with your own hands, and not just two touching ones. This approach will protect you from the consequences of builders' negligence and unnecessary costs (for example, when replacing windows or doors).

Whatever the reason why you still decide to figure out how to independently calculate the area of ​​the premises - remember that it is advisable to do any work with high quality. Therefore, try to carefully plan the whole process, prepare necessary tools, and feel free to proceed with measurements and calculations. And we hope that our tips will make it easier for you to follow them.

Video: calculating the area of ​​a room

Let's say that you want to start making repairs in own apartment... To do this, you need to decide on the amount of materials you need and the amount of money that will be spent on them. So, the repair budget is directly related to the quadrature, i.e. with the area of ​​the room, measured in square meters. Today we will figure out how to calculate the area of ​​your (or any other) room or even an entire apartment. Let's consider some aspects and nuances.

How to calculate the squaring of a room

Now let's take a closer look at how the area is calculated. It is worth considering that the shape of the room is not only rectangular. There are other cases, in each of them the calculation is done differently. Let's look at various examples.

What you need to calculate

In order to quickly calculate the required area, you will need:

• Roulette (with or without a lock);
• The paper where you will write everything down, pencil and pen;
• A calculator for calculations, but you can do it in your head and in a column on paper.

This entire set is available in almost any home. Better to take measurements with someone. It will be more convenient, but you can handle it yourself.

The first step is to take on the measurement of the walls. This is done along them. You can also measure in the middle, if they are filled with furniture.

3 by 3 how many square meters

To calculate a room 3 by 3 square meters, there is a fairly simple formula, you just need to multiply the measured length by the width. That is, we take 3 and multiply it by 3 and it turns out that a room 3 by 3 meters is 9 m².

3 to 4

It is calculated in the same way as in the previous formula. We take and multiply two values ​​3 * 4 and get 12 square meters.

3 to 6 how much will it be?

And then nothing new appears. Again we take two values ​​- 3 and 6, and then we multiply them. The result is 18 m².

Rectangular room

If the shape of the room is correct, which is very convenient, and there are no protruding parts, you can easily measure the area of ​​the room.

Take a tape measure and use it to measure the length as well as the width of the room. Write down the obtained values ​​on a piece of paper so as not to forget. Record the value in meters. Then these numbers should be multiplied, and you get the area of ​​the room in square meters. By the way, it is advisable to leave two digits after the decimal point, so if anything, you need to round.

Incorrect room shape

Sometimes in apartments, and most often in private houses, there are rooms that differ from the rectangular shape.

To measure the squaring of a room that is not rectangular or square, you will have to divide it into various shapes such as rectangles, triangles, and so on.

• If you need to calculate the area of ​​a room in the shape of a circle, you should use the formula S = D2 / 4, where D is the diameter of the room.
• The area of ​​a triangular section is calculated according to Heron's formula S = √ (P / 2 (P / 2 -A) x (P / 2 - B) x (P / 2 - C)), where the letters A, B, C mean its sides , and P is the perimeter, respectively.
• To calculate the area of ​​the terrace, if you have private house, you need to sum the area of ​​the rectangle and the semicircle.
• Whenever you need to calculate a segment, use the formula R2 / 2 (/ 180 - sin). This is a rather complicated calculation. The letter "a" means the angle of the segment, which is expressed in degrees.

How to calculate the squaring of a wall

Calculation of the area of ​​the walls is necessary when you are purchasing materials - wallpaper, plaster, etc. In this case, in order to calculate the squaring of the wall, additional measurements will be needed, for example, what is the height of the ceiling.

Wall, excluding windows, doors

Calculate the squaring of the walls easy, since the simplest formula is used - the length of the wall is multiplied by the height. Let's say the height is 2.7 meters and the width is 7 meters, then S = 7 * 2.7 = 18.9 m2. This is the area of ​​the walls.

How to calculate the squaring of the floor

In this case, it all depends on the geometry of the room. If the room is of the correct shape, then in order to find out the floor area, you should measure the length or width of a rectangle or square. Square meters are calculated using the formula S = H * B. Where "H" stands for the length of the room and "B" for the width. If the room is square, just square the length of the side is enough.

Floor without stove, fireplace

To do this, you should exclude these elements from the total area, that is, before calculating the total area, you need to know the square meters of a particular object:

1. We consider what quadrature your floor is.
2. Then the square of the area where the stove or fireplace is located should be calculated.
3. Now, from the total area, you need to subtract the one that touches the stove or fireplace.

Room volume

In some cases, you need to calculate the volume of the room. This is not difficult, you just need to multiply three values: width, length, height. This quantity is measured in cubic meters and is also called cubature. That is, the same formula as with calculating the area of ​​a room, only a third value is added, and that's it.

Conclusion

Now you have received an answer to the question of how the area of ​​any room is calculated. Even if it is complex, then it's okay, you need to break it down into simple shapes. You can also use an online calculator to calculate the square of the room. It can be of great help in some cases. By the way, always keep 5-10% of the materials in stock, as there may be errors in the calculation.

The same online calculators may also not work correctly. The best way calculate everything - do it yourself.

11-06-2015

If you are going to make DIY repairs in the toilet and use tiles at the same time, you will need to solve many important issues. First of all, it will be necessary to decide on the type and design of the coating, and then correctly. This stage should be taken with full responsibility so as not to end up with unfinished walls and not spend extra money on unnecessary material.

Before starting the repair, you need to decide on the design of the room and calculate the necessary materials.

Preparing for calculation

• roulette;
• calculator;
• pen and paper.

Take a tape measure and measure the width and length of the toilet. Add up the obtained values ​​and multiply the sum by 2. All measurements must be taken in meters. For example, you need to calculate the tiles for a toilet that has a length of 2 m and a width of 1.5 m.Using the above formula, you will determine that in this case the perimeter of the room will be 7 m.

Such a simple calculation of the tile for the toilet also allows you to determine the required number of friezes and borders, if their use is provided for by your chosen design project. To do this, translate the previously calculated perimeter of the toilet into centimeters and divide by the length of one curb. The resulting value is the number of curbs that will need to be purchased for cladding. Add a few in reserve.

In practice, it looks like this. As an example, the same toilet with a perimeter of 7 m is considered, i.e. 700 cm. Subtract the width of the door from this perimeter (usually about 80 cm), and you get a value equal to 620 cm.If the length of 1 curb is 25 cm, then for facing the room you will need to purchase 620/25 = 24.8 .e. 25 pieces.

When performing a calculation, you should always round towards the nearest whole number.

Otherwise, one product will simply not be enough for you.

Back to the table of contents

Instructions for calculating floor tiles

For an accurate calculation of the quantity required tiles you need to divide the floor area by the area of ​​one tile.

Now you need to count the tiles for finishing the floor. It’s very simple. All you have to do is calculate the surface area. To do this, take a tape measure and measure the width and length of the floor. In this example, the surface area will be 2x1.5 = 3 m2. Thus, you will need to purchase the amount of cladding material that would be sufficient for cladding 3 m² of the surface. Usually finishing material sold in packs, each of which is enough to decorate 1 m², so it's not difficult for you.

Experts say that the piece-by-piece calculation of the tiles is more accurate. To perform such a calculation, you first need to determine the area of ​​one product. For example, if you are going to use a square tile with a side of 50 cm for floor decoration, then the area of ​​one such product will be 0.25 m². Thus, for a 3 m² floor covering, you will need to buy 3 / 0.25 = 12 tiles. Buy 3-4 more pieces for cutting, possible damage during work, etc.

Back to the table of contents

The number of tiles for lining the walls of the toilet should be bought 10-15% more.

The calculation of tiles for wall cladding is also quite simple and straightforward. It is easiest to perform if the walls of the bathroom are faced with material of the same color and the same size. In this case, you will need to find out the total area of ​​the room. To do this, multiply the previously calculated perimeter by the height of the bathroom, and then subtract the area of ​​the doorway from it. In this example, the perimeter of the toilet is 7 m. The ceiling is 2.5 m high. A door 80 cm wide and 2 m high was installed. As a result, the total area of ​​the room will be: 7x2.5 - 2x0.8 = 15.9 m².

After that, you will need to determine the area of ​​one pottery. In this example, a 60x30 cm tile will be used for wall cladding. Thus, the area of ​​one product is 0.18 m². To determine required amount material for cladding, you need to take the total area of ​​the room and divide it by the area of ​​1 product. In this example, you will need to use: 15.9 / 0.18 = 88.3 tiles. That is, you have to purchase 89 pieces.

All these values ​​should be sure to add about 10-15% in reserve. If you are installing the cladding in a direct way, then buy 10% more material. If the cladding is carried out diagonally or other complex techniques, the calculated value should be increased by 15%.