How to calculate the squaring of a room, walls, ceiling, floor

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. You also periodically need to know the area of ​​the walls. All these data are calculated easily, but first you have to work with a tape measure - to measure all the required dimensions. How to calculate the area of ​​a room and walls, the volume of a room will be discussed further.

It is often required to calculate the volume of a room, its volume

Room area in square meters

It is not difficult to calculate, you just need to remember the simplest formulas and take measurements. For this you will need:

• 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 desirable 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).

How to calculate the area of ​​a room

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 known formulas (there is in the table just below).

Before calculating the area of ​​the room, we also make changes. Only in this case there will be not two numbers, but four: the length and width of the ledge will also be added. The dimensions of both pieces are calculated separately.

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

Complex room area

Let's show with this example how to calculate the area of ​​a room with a ledge (shown in the photo above):

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 to select them is arbitrary.

How to calculate the area of ​​an irregular room

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 sq. m.
4. Now we add everything to find the total area of ​​the room: 9.0 + 5.1 + 1.2 = 15.3 square meters. m.

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

Formulas for calculating the area and perimeter of simple geometric shapes

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 squaring of these elements is subtracted from the total quadrature. As a result, we get the floor area.

How to calculate the squaring of walls

Determining the area of ​​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 of 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.

It is most convenient to apply dimensions to the plan

Since the walls are rectangular, then the area is considered as for a rectangle: the length is multiplied 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 1.85 sq.m.
   3. wall without window opening: 8 sq. m - 1.75 m2 = 6.25 m2

Finding the total wall area is not difficult. We add up all four numbers: 14 sq.m + 12.11 sq.m. + 8 sqm + 6.25 sqm = 40.36 sq. m.

Room volume

The formula for calculating the volume of a room

Some calculations require room volume. 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 m³... So, the volume of the room is 44.8 cubic meters.