How to calculate the area of ​​​​a room, wall, floor, ceiling

Periodically, we need to know the area and volume of the 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 ​​uXNUMXbuXNUMXbthe 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 ​​uXNUMXbuXNUMXbthe room and walls, the volume of the room and will be discussed further.  

Room area in square meters

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

• Roulette. Better – with a latch, but a regular one will do.
• Paper and pencil or pen.
• Calculator (or count in a column or in your head).

A set of tools is simple, there is in every household. It is easier to measure 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 full of heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape measure 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 ​​u4,35bu430bthe room. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, put centimeters after the decimal point. For example, length 3,25 m (325 cm), width XNUMX m (XNUMX cm).

We multiply the found numbers, we get the area of ​​u4,35bu3,25bthe room in square meters. If we turn to our example, we get the following: 14,1375 m * 14,14 m = XNUMX sq. m. In this value, usually two digits after the decimal point are left, which means we round off. In total, the calculated quadrature of the room is XNUMX 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 necessary dimensions, make calculations according to 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, but four numbers: the length and width of the protrusion will be added. The dimensions of both pieces are considered separately.

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

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

1. We consider the quadrature 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 square meters. 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 figure below). As you can see, for this case it is required to have five sizes. It could have been split differently by putting a vertical rather than a horizontal line. It doesn’t matter. It just requires a set of simple shapes, and the way they are selected is arbitrary.

In this case, the calculation order is:

1. We consider the large rectangular part: 6,4 m * 1,4 m u8,96d 9 square meters. m. If we round up, we get 0 sq.m.
2. We calculate a small rectangle: 2,7 m * 1,9 m u5,13d 5,1 square meters. m. Rounding up, we get XNUMX square meters. m.
3. We calculate the area of ​​the triangle. Since it is with 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 up to find the total area of ​​​​the room: 9,0 + 5,1 + 1,2 u15,3d XNUMX square meters. m.

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

Another important note: the area of ​​uXNUMXbuXNUMXbthe room, floor and ceiling are all the same values. 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. The result is the floor area.

How to calculate the square of the 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 the square of the walls is also usually measured in square meters.

Since the walls are rectangular, the area is calculated 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, we calculate the area of ​​uXNUMXbuXNUMXbthe walls shown in the diagram above.

1. Wall with a door:
   • 2,5 m * 5,6 m = 14 square meters m. – the total area of ​​uXNUMXbuXNUMXbthe long wall
   • how much does a doorway take: 2,1 m * 0,9 m = 1,89 sq.m.
   • wall excluding doorway – 14 sq.m – 1,89 sq.m. m = 12,11 sq. m
2. Wall with a window:
   1. square of small walls: 2,5 m * 3,2 m = 8 sq.m.
   2. how much does a window take up: 1,3 m * 1,42 m = 1,846 sq. m, rounding up, we get 1,85 sq.m.
   3. wall without a window opening: 8 sq. m – 1,75 sq.m = 6,25 sq.m.

Finding the total area of ​​​​the walls is not difficult. We add up all four numbers: 14 sq.m + 12,11 sq.m. + 8 sq.m. + 6,25 sq.m. = 40,36 sq. m.

Room volume

Some calculations require the volume of the room. In this case, three values ​​​​are multiplied: width, length and height of the room. This value is measured in cubic meters (cubic meters), also called cubic capacity. 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.