Mapping Space Around Us: Introduction, Applications

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Namrata Das

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A map is a symbolic representation of space that emphasizes connections between objects, areas, or themes. Many maps are static, meaning they are printed on paper or another lasting medium, while others are dynamic and interactive. You've been learning about maps since elementary school. You had to locate a specific state, a specific river, a specific mountain in Geography. You've traveled the river, the road, the train, and the commerce routes, among others. We will provide you the information on crucial topics such as mapping space, maps, and the applications of maps and models.


What is Mapping Space?

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A map shows how one object or location is related to various objects or places. Symbols represent various objects or locations. The distances in the two maps will differ if they are drawn to different scales. An object that is closer to the observer exhibits the same size as one farther away on a map. The distances in the two maps will differ when the maps are drawn to different scales. The larger place and the smaller scale of the map represented, the longer distance indicated by 1cm.

Mapping Space
Mapping Space

Consequently, we can summarise:

  • A map is a symbolic interpretation of place and highlights the connections between elements in space, either perceived or actual. 
  • Symbols help in the representation of various objects and locations.
  • The map has no reference or perspective, which means objects closer to the observer are depicted as the same size as those farther away. 
  • A scale is used on maps, which proportionally decreases actual distances to distances on paper that are set for each map.

Also check: Mensuration MCQs


What are Maps?

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A map is a visual representation of a whole area or a section of the area, typically on a flat surface. The objective of the map is to show unique and precise elements of a given area, and it is typically used to depict geography. The maps are available, including static, two-dimensional, three-dimensional, dynamic, and interactive. The map shows political boundaries, physical features, highways, geography, population, climates, natural resources, and economic activities.

Also check: Direct and Inverse Proportions MCQs


Surrounding Mapping

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What is the most effective method for reading a map? What can we infer and understand from a map? What elements does a map include and exclude? Is there a difference between this and gazing at a picture?

Examine the following diagram of a house:

diagram of a house
Diagram of a house

What can we infer from the above image? A picture tries to show reality in all its intricacies, whereas a map shows the location of objects about others. Second, based on the angle from which they look at the residence, various people can describe the same scenario radically in different ways. The residence map keeps the same depending on the observer's position. In other words, though perspective seems crucial when painting, it is irrelevant while making a map.

Examine a map created by a schoolgirl that depicts the journey from her home to her school.

Examine a map created by a schoolgirl that depicts the journey from her home to her school
Examine a map created by a schoolgirl that depicts the journey from her home to her school

This map differs from the previous pictures. The girl has used a variety of symbols to represent various locations. Second, she has drawn broader lines for greater distances and smaller lines for fewer distances, showing that the map is to scale. Consequently, distance on the map corresponds to distance on the ground. While making (or reading) a map, one must be conscious of the scale to which it should be drawn (or has been drawn), that is, how much actual distance is depicted on the map by 1mm or 1cm. This implies that when designing a map, you must specify whether each 1cm of surface on the map signifies a set distance of 1km or 10km. The scale varies from one map to another, but not within a map.

Also check: Exponents and Powers MCQs


Applications of Maps and Models

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Students use many maps of India and Asia in Geography. Take a look at the map of India, which illustrates the locations of the country's major cities. Measure the distance between any two cities on the map and contrast it to the actual distance to determine the ratio between two distances. Select two additional cities on the map and measure their distance (on the map) to the exact distance between them to obtain the ratio between the two distances; we note that the ratio is the same in both cases. The proportion is already stated as a scale factor on every map, signified by the letter (k)

Example: When the scale of map is (1:20,000) it signifies that a distance of ({rm{1cm}}) on the map corresponds to an actual distance of (20,000 {cm} (0.2{km}) on the ground. Also consider the scale factor (k=frac {1} {20,000})

Solution: Models follow the same rule. In terms of models, 

Height of the model/ height of the object = length of the model/ length of the object

= width of the model/ width of the object

If the scale factor is (k, ) then:

  • Each side of the final figure (the picture) is \(k\) times the equivalent side of the starting figure (the object or the pre-image).
  • The final figure has an area of \ (k^ {2} \) times that of the given figure.
  • The volume of the resulting figure is \ (k^ {3} \) times the volume of the provided figure in the case of solids.

Things To Remember

  • A map is a symbolic representation of space that emphasizes connections between objects, areas, or themes. Many maps are static, meaning they are printed on paper or another lasting medium, while others are dynamic and interactive.
  • A map is a symbolic interpretation of place and highlights the connections between elements in space, either perceived or actual. 
  • Symbols help in the representation of various objects and locations.
  • A map is a visual representation of a whole area or a section of the area, typically on a flat surface.
  • Measure the distance between any two cities on the map and contrast it to the actual distance to determine the ratio between two distances.

Sample Questions

Ques. Draw the shortest street route from the library to the bus depot. Draw the shortest street route from the library to the bus depot(2 marks)

Ans: The shortest street route from the library to the bus depot is as follows:

The shortest street route from the library to the bus depot
The shortest street route from the library to the bus depot

Ques. Which is further south, the primary school or senior secondary school?  the primary school or senior secondary school(2 marks)

Ans: The senior secondary school is located further south between the primary and senior level schools.

As a result, we can see how the effective use of colors has made it easier to discover the appropriate areas and the path we need to travel.

Ques. Is it the city park or the market that is farther east? Is it the city park or the market that is farther east(1 mark)

Ans: The city park lies further east between the market and the city park.

Ques. A model of a ship is made to a scale of 1:200. If the length of the model is 4m; calculate the length of the ship. (2 marks)

Ans: Clearly, the scale factor k= 1200

And, the length of the model =k times the length of the ship.

4m= 1200 × The length of the ship

The length of the ship = 800m

Ques. The scale of the map is 1:50000. In the map, a triangular plot PQRPQR of land has the following dimensions: PQ=2cm, QR=3.5cm, and angle PQR=90o. Calculate: (2 marks)
(1) The actual length of side QR, QR, in km, km, of the land.
(2) The area of the plot in sq.km.

Ans: Scale factor k= 150,000

  1. Length of side QRQR in the map =K times the actual length of side QRQR in the land.

3.5 cm = 150,000 × actual length of QR

Actual length of QR = 50,000 × 3.5 cm = 1.75 km

  1. Since the area of triangle PQR in the map = 12 × 2 cm × 3.5 cm = 3.5sq.cm

And, the area of ΔPQR in the map =k2 times the actual area of triangular plot PQR.

3.5 cm2= 150,0002 × actual area of the plot

Actual area of the plot = 3.5×50,000×50,000sq.cm = 0.875sq.cm

Ques. What is the definition of space? (2 marks)

Ans: Space is typically viewed as an endless three-dimensional quantity in which events have relative position and direction. Three-dimensional is common when it comes to physical space. Current physicists believe that, along with time, to be part of a four-dimensional continuum known as space-time.

Ques. What are three different types of maps? (1 mark)

Ans: The reference map, thematic map, and dynamic map are the three sorts of maps for clarity’s purpose.

Mathematics Related Links:

CBSE X Related Questions

  • 1.
    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.


      • 2.
        A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.


          • 3.
            An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is

              • $50^\circ$
              • $60^\circ$
              • $45^\circ$
              • $30^\circ$

            • 4.
              A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


                • 5.
                  The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


                    • 6.
                      In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

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