What is the scale in 1 cm 10 meters. map scale

What is scale? Scale - in the general case, the ratio of two linear dimensions. In the regions practical application scale is the ratio of the size of an image to the size of the object being depicted.

That is, on maps, plans, aerial or satellite images, this is the ratio of the length of the segment to its actual length on the ground. It is accepted, on maps, to take 1 centimeter as a unit of measurement, and on the ground to measure the distance in meters.

Types of indication of scales

There are three types of scaling:

• numerical;
• named;
• linear.

Numerical scale(the most common and convenient) - a fractional scale, where the numerator is one, and the denominator is a number showing how many times the given image of the territory is reduced (example: 1:100,000; 1:15,000). Both figures are indicated in centimeters, which makes it impossible to make a mistake in translation, converting one unit of measurement to another. But in practice, the use of such a scale is not convenient. Therefore, when working directly on the ground, the numerical scale is most often translated into a named one.

Named (or verbal) scale- a verbal indication of what distance on the ground corresponds to 1 centimeter on the map (example: 1 cm 5 km or 1 cm = 500 meters). This kind of scale is understandable to the human mind, but it will be difficult to make calculations and very easy to make a mistake.

There is also a third type of scale indication. This is a linear scale.

Linear scale- an auxiliary measuring ruler on the maps for quick measurement of distances, without calculations.

The scale of the maps is always the same at all its points.

Standard scales

In Russia, standard numerical scales are adopted:

1:1 000 000
1:500 000
1:200 000
1:100 000
1:50 000
1:25 000
1:10 000.

*For special purposes, topographic maps are also created at scales of 1:5,000 and 1:2,000.

Converting a numerical scale to a named one

Since the lengths of lines on the ground are usually measured in meters, and on maps and plans - in centimeters, it is most convenient to express the scales in verbal form, for example:

There are 100 meters in one centimeter. This corresponds to a numerical scale of 1:10,000. Since 1 meter equals 100 centimeters, the number of meters on the ground contained in 1 cm on the map is easily determined by dividing the denominator of the numerical scale by 100. Or by 100,000 to convert to km.

That is, a numerical scale of 1:30,000 means that there are 300 meters (30,000/100) in 1 cm on the map.

Theme "Scale"

Materials for preparing for the lesson

T.V. KONSTANTINOV
cand. ped. Sciences, Senior Lecturer
E.A. KUZNETSOVA
Kaluga State Pedagogical University
them. K.E. Tsiolkovsky

Means of education

A plan of the area (preferably of your own area), a physical map of the hemispheres, a physical map of Russia, measuring instruments (measuring tape, rangefinder).

Terms and concepts

Scale ( from German - measure and Stab - stick) - the ratio of the length of a segment on a map, plan, aerial or satellite image to its actual length on the ground.
Numerical scale- scale, expressed as a fraction, where the numerator is one, and the denominator is a number showing how many times the image is reduced.
Named (verbal) scale - kind of scale, a verbal indication of what distance on the ground corresponds to 1 cm on a map, plan, photograph.
Linear scale - an auxiliary measuring ruler applied to maps to facilitate the measurement of distances.

Geographical sciences and professions of geographers

Geodesy (Greek - land division) - a science that studies the shape and size of the Earth, methods for measuring distances, angles and heights on the earth's surface.
Topography(Greek - place and - I write) - a section of geodesy dedicated to measurements on the ground to create maps and plans.
Cartography- the science of maps, their creation and use. Cartography also studies globes, plans and other images of the earth's surface, in addition, maps and globes of the starry sky and other planets.

Geographer's Toolkit

Compasses - a tool for transferring dimensions to drawings. When working with geographical maps, it is used to determine the distances between points, individual sections of the map.
Curvimeter - a mechanical portable device designed to measure the lengths of winding lines from maps. It consists of a round box with a dial and an arrow, a small wheel at the bottom. The divisions on the dial scale can mean the path traveled by the wheel on the map (in cm), or immediately show the distance on the ground, depending on the scale of the map.
Rangefinders - appliances various types, which serve to determine distances without directly measuring them with a measuring tape or tape measure.
Measuring tape - the main instrument used to measure distances before the invention of rangefinders. It is a steel band, usually 20 m long, fixed to the ground with long (about 0.5 m) steel pins.

Geographic nomenclature

Local names: the settlement where the students live, streets, shops, educational institutions, nearby bodies of water, various local landforms, and so on.

Independent work of students

Determining distances on maps using a scale

The purpose of the work: the formation of skills to work with various types scale; formation of skills to determine distances on maps using a scale.
Equipment: atlas of geography for the 6th grade, curvimeter or thread about 20 cm long, workbook.

Exercise 1. Convert the map's numerical scale to a named one:

a) 1: 200,000
b) 1: 10,000,000
c) 1: 25,000

rule for students. To make it easier to translate a numerical scale into a named one, you need to calculate how many zeros the number in the denominator ends with. For example, on a scale of 1:500,000, there are five zeros in the denominator after the number 5.
If after the number in the denominator five and more zeros, then, by closing (with a finger, a pen or simply crossing out) five zeros, we get the number of kilometers on the ground corresponding to 1 centimeter on the map. Example for scale 1: 500,000. The denominator after the number is five zeros, closing them, we get for the named scale: 1 cm on the map 5 kilometers on the ground.
If after the number in the denominator there are less than five zeros, then by closing two zeros, we get the number of meters on the ground corresponding to 1 centimeter on the map. If, for example, in the denominator of the scale 1: 10,000 we close two zeros, we get: in 1 cm - 100 m.
Answer: a) in 1 cm - 2 km; b) in 1 cm - 100 km; c) in 1 cm - 250 m.

Task 2. Convert a named scale to a numerical one:

a) in 1 cm - 500 m

b) in 1 cm - 10 km

c) in 1 cm - 250 km

rule for students. For easier translation of a named scale into a numerical scale, you need to convert the distance on the ground indicated in the named scale to centimeters. If the distance on the ground is expressed in meters, in order to get the denominator of the numerical scale, two zeros must be assigned, if in kilometers, then five zeros.
For example, for a named scale of 1 cm - 100 m, the distance on the ground is expressed in meters, so for a numerical scale we assign two zeros and get: 1: 10,000. For a scale of 1 cm - 5 km, we assign five zeros to the five and get: 1 : 500,000.
Answers: a) 1: 50,000; b) 1: 1,000,000; c) 1: 25,000,000.

Task 3. Determine the distance between points on the physical map of Russia in the atlas of the 6th grade:

a) Moscow and Murmansk
b) Mount Narodnaya (Ural Mountains) and Mount Belukha (Altai Mountains)
c) Cape Dezhnev (Chukotka Peninsula) and Cape Lopatka (Kamchatka Peninsula)

rule for students. When determining the distance on the map between points, you should:
1. Use a ruler to measure the distance in centimeters between points. For example, the distance between the cities of Moscow and Astrakhan on the map is 6.5 cm.
2. Find out on a named scale how many kilometers (meters) on the ground correspond to 1 cm on the map.
(On the physical map of Russia in the geographical atlas of the 6th class, 1 cm on the map corresponds to 200 km on the ground.)
3. Multiply the distance between points measured with a ruler by the number of kilometers (meters) on the ground for a given scale.

6.5 x 200 = 1300 km.

Answers: a) 1460 km; b) 2240 km; c) 2500 km* * .

Task 4. Measure the length of the rivers on the physical map of Russia in the atlas of the 6th grade:

a) Oka;
b) the Ural River;
c) Kama.

Measurements of winding lines on the map (in this case, rivers) are carried out using a curvimeter or thread.
How to measure the length of a river with a string (rule for students).
1. The thread must be moistened, otherwise it is difficult to lay it on paper.
2. Attach a thread to a curved line (to the river - from source to mouth) so that it repeats all the bends of the river.
3. Mark on the thread (with fingers or tweezers) the source and mouth points (you can carefully cut the thread with scissors at these points).
4. Straighten the thread, attach the noticed (or cut off) section of the thread to the ruler and measure how many centimeters it contains. Multiply the measurement result by the number of kilometers on the ground for a given scale. (You can put a string on a linear scale on a map and immediately read the length of the river.)
Answers: a) about 920 km; b) about 1300 km; c) about 1200 km.
Note. The accuracy of measuring curvilinear sections is not high, so the answers of schoolchildren may differ somewhat from the answers of their comrades. Surely, the results of measuring with a thread on a small-scale map will STRONGLY diverge from the lengths of the rivers that are indicated in textbooks and reference books. The present length of the Oka is 1500 km, the Urals is 2400 km, the Kama is 1800 km. It is imperative to tell the students these numbers so that the “clumsy” numbers of independent measurement are not fixed in memory (and they have a great chance of gaining a foothold precisely because they were obtained independently). It is also necessary to explain where such a discrepancy comes from: a small-scale map cannot reflect many medium and small turns, bends of the river, they are all “straightened”. This explanation will come in very handy in the topic "Scale": it will make it easier to understand the differences between maps of different scales.

Figures and facts

Topographic map scales

The cards have other names as well. Let's determine what scales the following names refer to: 100 meter, half mile, mile, 2 mile, 5 mile, 10 mile.
On what kind of scale are the names given in the table based? What about the ones in the previous paragraph?

(reading for students)

A story about a map in 1:1 scale

Once upon a time there was a Capricious King. One day he traveled around his kingdom and saw how great and beautiful his land was. He saw winding rivers, huge lakes, high mountains and wonderful cities. He became proud of his possessions and wanted the whole world to know about them. And so, the Capricious King ordered the cartographers to create a map of the kingdom. The cartographers worked for a whole year and finally presented the King with a wonderful map, on which all the mountain ranges, large cities and large lakes and rivers were indicated.
However, the Capricious King was not satisfied. He wanted to see on the map not only the outlines of the mountain ranges, but also the image of each mountain peak. Not only large cities, but also small ones and villages. He wanted to see small rivers flowing into rivers.
The cartographers set to work again, worked for many years and drew another map, twice the size of the previous one. But now the King wished that the map showed passes between mountain peaks, small lakes in the forests, streams, peasant houses on the outskirts of villages. Cartographers drew more and more new maps.
The capricious King died without waiting for the end of the work. Successors one by one came to the throne and died in turn, and the map was drawn up and drawn up. Each king hired new cartographers to map the kingdom, but each time he remained dissatisfied with the fruits of labor, finding the map insufficiently detailed.
Finally, the cartographers drew the Incredible Map. The map depicted the entire kingdom in great detail - and was exactly the same size as the kingdom itself. Now no one could tell the difference between the map and the kingdom.
Where were the Capricious Kings going to store their wonderful map? The casket for such a card is not enough. You will need a huge room like a hangar, and in it the map will lie in many layers. Do you really need such a card? After all, a life-size map can be successfully replaced by the terrain itself.

Dependence of map detail on scale

If you have ever flown on airplanes, then you probably remember how at the beginning of the flight, when the plane is just taking off from the ground, the outlines of the airport, houses, squares float under it. But the higher it rises into the air, the less details are visible through the porthole, but the space that opens up to the eye becomes wider. The detail of the maps also changes when the scale is reduced.
On large-scale maps, where no more than 500 m of land space fits in 1 cm of area, a small area is depicted in great detail.
On small-scale maps, where 1 cm fits up to several thousand kilometers, huge areas of the Earth are shown, but with a small amount of detail. Both cards are needed, depending on their purpose.
If you are wondering what countries you will fly over when traveling from Moscow to Melbourne, you need to open a small-scale map, and when going to the forest for mushrooms or hiking with friends, you need to take a large-scale map with you so as not to get lost.

Homework for those who wish

Determine the scale of the maps of your area

Find maps depicting the area you live in. If you don’t have such cards at home, ask your friends and acquaintances, a geography teacher, a librarian or a bookstore seller for help.
Write down the scales of the maps depicting your area. Which scale is larger, which is smaller?
Compare maps of different scales and find out on which maps the larger territory is shown, and on which the smaller one.
Determine on what scales the area is depicted in more detail, on which - in less detail.
Make a conclusion about how the area of ​​the depicted territory and its detail depend on the scale of the map.

Find your location on the map

On the map of your region (krai, republic ...), determine the distance from your settlement to the regional (territorial, republican) center, if you do not live in it, or to any other settlement, if you are in the center of the region ( regions, republics).

On ancient maps, a named scale could show what distance on the ground corresponds to one inch or other archaic linear measure on the map.
Hereinafter, the calculations were made according to the atlas “Geography. Initial course. Grade 6.: Atlas. - M.: Bustard; Publishing house DIK, 1999. - 32 p. Of course, at this stage of training, the teacher does not yet address the issues of distance distortion associated with the map projection.

The scale can be written in numbers or words, or depicted graphically.

• Numerical.
• Named.
• Graphic.
  • Linear.
  • Transverse.

Numerical scale

The numerical scale is signed with numbers at the bottom of the plan or map. For example, the scale "1: 1000" means that all distances on the plan are reduced by 1000 times. 1 cm on the plan corresponds to 1000 cm on the ground, or, since 1000 cm = 10 m, 1 cm on the plan corresponds to 10 m on the ground.

Named Scale

The named scale of a plan or map is indicated by words. For example, it may be written "in 1 cm - 10 m."

Linear scale

It is most convenient to use the scale depicted as a straight line segment divided into equal parts, usually centimeters (Fig. 15). This scale is called linear, it is also shown at the bottom of the map or plan. Please note that when drawing a linear scale, zero is set, retreating 1 cm from the left end of the segment, and the first centimeter is divided into five parts (2 mm each).

Near each centimeter it is signed what distance it corresponds to on the plan. One centimeter is divided into parts, next to which it is written what distance on the map they correspond to. A compass-measuring device or a ruler measures the length of any segment on the plan and, applying this segment to a linear scale, determines its length on the ground.

Knowing the scale, it is possible to determine the distances between geographic objects, to measure the objects themselves.

If the distance from the road to the river on a plan with a scale of 1: 1000 (“in 1 cm - 10 m”) is 3 cm, then on the ground it is 30 m. material from the site

Suppose, from one object to another, 780 m. It is impossible to show this distance on paper in full size, so you have to draw it on a scale. For example, if all distances are shown 10,000 times smaller than in reality, that is, 1 cm on paper will correspond to 10 thousand cm (or 100 m) on the ground. Then, on a scale, the distance in our example from one object to another will be 7 cm and 8 mm.

Pictures (photos, drawings)

On this page, material on the topics:

Scale 1: 100,000

1 mm on the map - 100 m (0.1 km) on the ground

1 cm on the map - 1000 m (1 km) on the ground

10 cm on the map - 10000 m (10 km) on the ground

Scale 1:10000

1 mm on the map - 10 m (0.01 km) on the ground

1 cm on the map - 100 m (0.1 km) on the ground

10 cm on the map - 1000m (1 km) on the ground

Scale 1:5000

1 mm on the map - 5 m (0.005 km) on the ground

1 cm on the map - 50 m (0.05 km) on the ground

10 cm on the map - 500 m (0.5 km) on the ground

Scale 1:2000

1 mm on the map - 2 m (0.002 km) on the ground

1 cm on the map - 20 m (0.02 km) on the ground

10 cm on the map - 200 m (0.2 km) on the ground

Scale 1:1000

1 mm on the map - 100 cm (1 m) on the ground

1 cm on the map - 1000cm (10 m) on the ground

10 cm on the map - 100 m on the ground

Scale 1:500

1 mm on the map - 50 cm (0.5 meters) on the ground

1 cm on the map - 5 m on the ground

10 cm on the map - 50 m on the ground

Scale 1:200

1 mm on the map - 0.2 m (20 cm) on the ground

1 cm on the map - 2 m (200 cm) on the ground

10 cm on the map - 20 m (0.2 km) on the ground

Scale 1:100

1 mm on the map - 0.1 m (10 cm) on the ground

1 cm on the map - 1 m (100 cm) on the ground

10 cm on the map - 10m (0.01 km) on the ground

Convert the map's numerical scale to a named one:

Solution:

To make it easier to translate a numerical scale into a named one, you need to calculate how many zeros the number in the denominator ends with.

For example, on a scale of 1:500,000, there are five zeros in the denominator after the number 5.

If after the number in the denominator there are five or more zeros, then by closing (with a finger, a pen or simply crossing out) five zeros, we get the number of kilometers on the ground corresponding to 1 centimeter on the map.

Example for scale 1: 500,000

There are five zeros in the denominator after the number. Closing them, we get for the named scale: 1 cm on the map 5 kilometers on the ground.

If after the number in the denominator there are less than five zeros, then by closing two zeros, we get the number of meters on the ground corresponding to 1 centimeter on the map.

If, for example, in the denominator of the scale 1: 10,000 we close two zeros, we get:

in 1 cm - 100 m.

Answers:

in 1 cm - 2 km;

in 1 cm - 100 km;

in 1 cm - 250 m.

Use a ruler, overlay on maps to make it easier to measure distances.

Convert a named scale to a numerical one:

in 1 cm - 500 m

in 1 cm - 10 km

in 1 cm - 250 km

Solution:

For easier translation of a named scale into a numerical scale, you need to convert the distance on the ground indicated in the named scale to centimeters.

If the distance on the ground is expressed in meters, then to get the denominator of the numerical scale, you need to assign two zeros, if in kilometers, then five zeros.

For example, for a named scale of 1 cm - 100 m, the distance on the ground is expressed in meters, so for a numerical scale we assign two zeros and get: 1: 10,000.

For a scale of 1 cm - 5 km, we assign five zeros to the five and get: 1: 500,000.

Answers:

Maps, depending on the scale, are conventionally divided into the following types:

topographic plans - 1:400 - 1:5,000;

large-scale topographic maps - 1:10,000 - 1:100,000;

medium-scale topographic maps - from 1:200,000 - 1:1,000,000;

small-scale topographic maps - less than 1:1,000,000.

Scale maps:

1:10,000 (1cm=100m)

1:25,000 (1cm=100m)

1:50,000 (1cm=500m)

1:100,000 (1cm=1000m)

called large scale.

Tale about the map in scale 1:1

Once upon a time there was a Capricious King. One day he traveled around his kingdom and saw how great and beautiful his land was. He saw winding rivers, huge lakes, high mountains and wonderful cities. He became proud of his possessions and wanted the whole world to know about them. And so, the Capricious King ordered the cartographers to create a map of the kingdom. The cartographers worked for a whole year and finally presented the King with a wonderful map, on which all the mountain ranges, large cities and large lakes and rivers were indicated.

However, the Capricious King was not satisfied. He wanted to see on the map not only the outlines of the mountain ranges, but also the image of each mountain peak. Not only large cities, but also small ones and villages. He wanted to see small rivers flowing into rivers.

The cartographers set to work again, worked for many years and drew another map, twice the size of the previous one. But now the King wished that the map showed passes between mountain peaks, small lakes in the forests, streams, peasant houses on the outskirts of villages. Cartographers drew more and more new maps.

The capricious King died without waiting for the end of the work. Successors one by one came to the throne and died in turn, and the map was drawn up and drawn up. Each king hired new cartographers to map the kingdom, but each time he remained dissatisfied with the fruits of labor, finding the map insufficiently detailed.

Finally the cartographers drew an Incredible map!!! The map depicted the entire kingdom in great detail - and was exactly the same size as the kingdom itself. Now no one could tell the difference between the map and the kingdom.

Where were the Capricious Kings going to store their wonderful map? The casket for such a card is not enough. You will need a huge room like a hangar, and in it the map will lie in many layers. Do you really need such a card? After all, a life-size map can be successfully replaced by the terrain itself ..))))

Scale(German Maßstab, lit. "measuring stick": Mass"measure", Stab"stick") - in the general case, the ratio of two linear dimensions. In many areas of practical application, scale is the ratio of the size of an image to the size of the depicted object.

The concept is most common in geodesy, cartography and design - the ratio of the size of the image of an object to its natural size. A person is not able to depict large objects, such as a house, in full size, therefore, when depicting a large object in a drawing, drawing or layout, the size of the object is reduced several times: two, five, ten, one hundred, one thousand, and so on. The number showing how many times the depicted object is reduced is the scale. The scale is also used when depicting the microworld. A person cannot depict a living cell, which he examines under a microscope, in full size and therefore increases the size of its image by several thousand times. The number showing how many times the real phenomenon is enlarged or reduced when it is depicted is defined as a scale.

Scale in geodesy, cartography and engineering

Scale shows how many times each line drawn on a map or drawing is less or more than its actual size. There are three types of scale: numerical, named, graphic.

Scales on maps and plans can be represented numerically or graphically.

Numerical scale is written as a fraction, the numerator of which is one, and the denominator is the degree of reduction of the projection. For example, a scale of 1:5000 shows that 1 cm on the plan corresponds to 5000 cm (50 m) on the ground.

Larger is the scale with the smaller denominator. For example, a scale of 1: 1,000 is larger than a scale of 1: 25,000. In other words, with more large scale the object is depicted larger (bigger), with more small scale- the same object is depicted smaller (smaller).

Named Scale shows what distance on the ground corresponds to 1 cm on the plan. It is written, for example: “There are 100 kilometers in 1 centimeter”, or “1 cm = 100 km”.

Graphic scales subdivided into linear and transverse.

• Linear scale- this is a graphical scale in the form of a scale bar, divided into equal parts.
• Cross scale- this is a graphical scale in the form of a nomogram, the construction of which is based on the proportionality of segments of parallel lines intersecting the sides of the angle. The transverse scale is used for more accurate measurements of the lengths of lines on the plans. The transverse scale is used as follows: the measurement of the length is postponed on the lower line of the transverse scale so that one end (right) is at the whole division of the OM, and the left goes beyond 0. If left leg falls between the tenth divisions of the left segment (from 0), then we raise both legs of the meter up until the left leg hits the intersection of a transvensal and some horizontal line. Wherein right leg meter should be on the same horizontal line. The smallest CD = 0.2 mm, and the accuracy is 0.1.

Scale Accuracy- this is a segment of the horizontal line, corresponding to 0.1 mm on the plan. The value of 0.1 mm for determining the accuracy of the scale is adopted due to the fact that this is the minimum segment that a person can distinguish with the naked eye. For example, for a scale of 1:10,000, the scale accuracy will be 1 m. In this scale, 1 cm on the plan corresponds to 10,000 cm (100 m) on the ground, 1 mm - 1,000 cm (10 m), 0.1 mm - 100 cm (1 m).

The scales of images in the drawings should be selected from the following range:

When designing master plans for large objects, it is allowed to use scales of 1:2,000; 1:5000; 1:10,000; 1:20,000; 1:25,000; 1:50,000.
In necessary cases, it is allowed to use magnification scales (100n):1, where n is an integer.

Scale in photography

When photographing, scale is understood as the ratio of the linear size of the image obtained on a photographic film or photosensitive matrix to the linear size of the projection of the corresponding part of the scene onto a plane perpendicular to the direction to the camera.

Some photographers measure scale as the ratio of the size of an object to the size of its image on paper, screen, or other media. The correct scaling technique depends on the context in which the image is used.

Scale has importance when calculating the depth of field. A very wide range of scales is available to photographers - from almost infinitely small (for example, when shooting celestial bodies) to very large (without the use of special optics, it is possible to obtain scales of the order of 10:1).

Macro photography is traditionally understood as shooting at a scale of 1: 1 or larger. However, with the widespread use of compact digital cameras, this term has also been used to refer to shooting close to the lens (usually closer than 50 cm) small objects. This is due to the necessary change in the mode of operation of the autofocus system in such conditions, however, from the point of view of the classical definition of macro photography, such an interpretation is incorrect.

Scale in modeling

For each type of scale (bench) modeling, scale series are defined, consisting of several scales of different degrees of reduction, and for different types modeling (aircraft modeling, ship modeling, railway, automobile, military equipment) define their own, historically established, large-scale series, which usually do not intersect.

The scale in modeling is calculated by the formula:

Where: L - original parameter, M - required scale, X - desired value

For example:

With a scale of 1/72, and an original parameter of 7500 mm, the solution will look like;

7500 mm / 72 = 104.1 mm.

The resulting value is 104.1 mm, there is the desired value at a scale of 1/72.

time scale

In programming

In time-sharing operating systems, it is extremely important to provide individual tasks with the so-called "real time mode", in which the processing of external events is ensured without additional delays and gaps. The term “real time scale” is also used for this, however, this is a terminological convention that has nothing to do with the original meaning of the word “scale”.

In film technology

Time scale - a quantitative measure of slowing down or speeding up movement, equal to the ratio of the projected frame rate to the filming frame rate. So, if the projection frame rate is 24 frames per second, and the filming was done at 72 frames per second, the time scale is 1:3. The 2:1 time scale means twice the speed of the process on the screen compared to the usual one.

In mathematics

Scale is the ratio of two linear dimensions. In many areas of practical application, scale is the ratio of the size of an image to the size of the depicted object. In mathematics, the scale is defined as the ratio of the distance on the map to the corresponding distance in the real area. A scale of 1:100,000 means that 1 cm on the map corresponds to 100,000 cm = 1,000 m = 1 km on the ground.

/ WHAT IS SCALE

Scale. Scale types

Geography. 7th grade

What is scale?

The scale shows how many times the distance on the map is less than the corresponding distance on the ground.

A scale of 1:10,000 (read one ten-thousandth) shows that each centimeter on the map corresponds to 10,000 centimeters on the ground.

What does scale mean

Scale types

What kind of scale is shown here? Which one is missing?

Write in 1 cm -

Since there are 100 centimeters in 1 meter, you need to remove two zeros

Since there are 1000 meters in 1 kilometer, you need to remove three more zeros (if possible)

Write the remaining number after the dash, indicate meters or kilometers

How to convert a numerical scale to a named one

Scale conversion from numerical to named

Check answers

in 1 cm - 5 m

in 1 cm - 15 m

in 1 cm - 500 m

in 1 cm - 2 km

in 1 cm - 30 km

in 1 cm - 600 km

in 1 cm - 15 km

Exercises. Convert scale from numerical to named

How to calculate scale 1:50?

The scale is used to place in the drawing an area that is actually many times larger. At a scale of 1:50, all dimensions are taken 50 times smaller than in reality. For example, the drawing is drawn on a scale of 1:50. On it, the size of 50 meters is taken as 1 meter. If you want to depict a shop 5 meters long, then in the figure its length will be 10 cm. Such a small scale is used in construction drawings for a graphic representation of a small area ( landscape design). Conclusion: when drawing with a scale of 1:50, all initial dimensions must be divided by 50.

Mirra mi

A scale of 1 to 50 means that in the drawing all objects, lines are reduced by 50 times what they actually are. That is, 1 cm in the drawing is 50 cm in reality. Therefore, while reading such a drawing, each centimeter must be multiplied by 50:

1 cm is 50 cm,

2 cm is 100 cm,

10 cm is 500 cm, etc.

A scale of 1:50 means that the object (drawing, map, graph, drawing, object, sketch, etc.) that we see is reduced fifty times compared to the original size. Where the length is shown, for example, one centimeter in the original means fifty centimeters.

Zolotynka

To understand what a 1:50 scale is, consider an example: suppose we have a model car produced in 1:50 scale. This means that the real car is 50 times larger than our model.

The same applies to maps: when we draw a locality to scale on a sheet of paper or a computer screen, we reduce the distances by 50 times, but be sure to preserve all the features of the terrain and all proportions. The scale clearly shows the relationship between distances on the map and distances on the ground. This makes the map convenient for us, as we get visual information that can be used to easily calculate ground distances.

Those. in order to create a model on a scale of 1 to 50 (anything - an object, terrain), you need to divide the real size by 50.

Azamatik

To do this, let's use an example.

A scale of 1 to 50 means, for example, that 50 kilometers is taken as 1 kilometer; 50 meters is taken as 1 meter; 50 centimeters as 1 centimeter and so on.

Let's take a real football field, which is 100 meters long and 50 meters wide.

To depict this field on a piece of paper on a scale of 1 to 50, we divide both the width and the length by 50 (50 m).

Therefore, this football field on a scale of 1:50 will be 2 meters long and 1 meter wide.

Moreljuba

Scale is a very necessary and important thing. It is very important when creating drawings of the area and maps. If we are talking about a scale of 1:50, then this means that all real objects, when transferred to our drawing, must be reduced in size by 50 times. In other words, the dimensions of the objects should be divided by 50. For example, if we need to put an object 100 centimeters long on the drawing, we reduce it to 2 centimeters (100/50).

Quite simply, if this is some kind of drawing, then this means that all the details, say, a model of a ship, are reduced by 50 times and in order to represent the true size of the ship from which this drawing was made, you will need to increase the model by 50 times, that is, multiply the size all parts for 50.

Razyusha

If you need to make rooms, some kind of object on a scale of 1:50, then you need to do it this way: divide each length by 50 cm, draw the result on paper. Let's say a wall 6 m long in the drawing will be 12 cm long. How is this calculated:

6 m = 600 cm,

600: 50 = 12 cm.

Pollack tail

It turns out that all objects in the figure are reduced by fifty times. In order to calculate the scale of the object, it is necessary to measure the picture with a regular ruler after 1 cm, multiply by 50. Actually, this will turn out to be the real scale of the object.

The question is on the verge of fantasy. The scale of one to fifty is the ratio of one scale unit containing 50 real scale units. For example, 1 cm of the established scale contains 50 cm of the real one.

What is scale?

Daria Remizova

Scale
(German Maßstab, from Maß - measure, size and Stab - stick), the ratio of the length of segments in a drawing, plan, aerial photograph or map to the lengths of their corresponding segments in kind. The numerical Scale defined in this way is an abstract number, greater than 1 in the cases of drawings of small parts of machines and devices, as well as many micro-objects, and less than 1 in other cases, when the denominator of the fraction (with the numerator equal to 1) shows the degree of reduction in the size of the image of objects relative to their actual sizes. The scale of plans and topographic maps is a constant value; The scale of geographical maps is a variable value. For practice, a linear scale is important, that is, a straight line divided into equal segments with captions indicating the lengths of the segments corresponding to them in kind. For more accurate drawing and measurement of lines on plans, a so-called transverse scale is built. The transverse scale is a linear scale parallel to which a series of equally spaced horizontal lines, crossed by perpendiculars (verticals) and oblique lines (transverses). The principle of construction and use of the transverse scale. is clear from the figure given for a numerical scale of 1: 5000. The segment of the transverse scale, marked in the figure with dots, corresponds on the ground to the line 200 + 60 + 6 = 266 m. A metal ruler is also called a transverse scale, on which an image of such a pattern is carved with very thin lines , sometimes without any inscriptions. This makes it easy to use it in the case of any numerical scale used in practice.
Scale 1:200 means that 1 unit of measurement in the figure or drawing corresponds to 200 units of measurement in space. For example: a topographic map - atlas of the Tver region has a scale of 1:200000. This means that 1 centimeter on the map is equal to 2 kilometers on the ground.

Dmitry Mosendz

Scale 1:200 means that 1 unit of measurement in the figure or drawing corresponds to 200 units of measurement in space. For example: a topographic map - atlas of the Tver region has a scale of 1:200000. This means that 1 centimeter on the map is equal to 2 kilometers on the ground.