📘 Maharashtra State Board – Standard VIII
Chapter 9 – Map Scale
(1) (a) Classify maps showing the following areas into small scale or large scale.
- Building
- School
- Country of India
- Church
- Mall
- World Map
- Garden
- Dispensary
- Maharashtra State
- The north sky at night
Ans:
🗺️ (A) Small Scale Maps:
- Country of India
- World Map
- Maharashtra State
- The north sky at night
👉 Small scale maps show large areas with less detail.
🏫 (B) Large Scale Maps:
- Building
- School
- Church
- Mall
- Garden
- Dispensary
👉 Large scale maps show small areas with more detail.
(1) (b) There are two maps with respective scales of 1 cm = 100 m and 1 cm = 100 km. Give a well-reasoned answer as to which of them would be a large scale map and which a small scale map. Recognize the type of maps.
Ans:
- A map with scale 1 cm = 100 m represents a smaller area in greater detail.
👉 Therefore, it is a large scale map. - A map with scale 1 cm = 100 km represents a larger area with less detail.
👉 Therefore, it is a small scale map.
(2) Calculate the distances using the numerical scale 1 : 18,000,000.
| Cities | Distance on Map | Actual Distance |
|---|---|---|
| Mumbai to Bengaluru | 0.98 cm | 980 km |
| Vijayapura to Jaipur | 2 cm | 2000 km |
| Hyderabad to Surat | 0.9 cm | 900 km |
| Ujjain to Shimla | 1.14 cm | 1140 km |
| Patna to Raipur | 0.75 cm | 750 km |
| Delhi to Kolkata | 1 cm | 1000 km |
👉 (1 cm on map represents 180 km in reality.)
(3) (a) The distance between two points A and B on the ground is 500 m. Show this distance on paper by a line of 2 cm. Express the map scale by any one method and mention it.
Ans: Convert metres into centimetres:
500 m = 50,000 cm
2 cm on paper = 50,000 cm on ground
Therefore,
1 cm on paper = 25,000 cm on ground
Verbal Scale:
1 cm = 250 m
👉 This is called a verbal scale, as it is written using words and units.
(b) Convert verbal scale of 1 cm = 53 km to a numerical scale.
Ans: 1 km = 100,000 cm
53 km = 53 × 100,000 = 5,300,000 cm
Therefore, the numerical scale is:
1 : 5,300,000
(c) Convert the numerical scale of 1 : 10,000,000 to a verbal scale in the metric system.
1Ans: km = 100,000 cm
10,000,000 cm = 100 km
Therefore, the verbal scale is:
1 cm = 100 km
(4) Help them using road and railway maps of Maharashtra. Use the scale given in the maps.
(a) Ajay wants to arrange a family trip:
Beed → Aurangabad → Dhule → Nashik → Mumbai → Pune → Solapur → Beed
The cost of the vehicle is ₹12 per km. What would be the approximate cost of travel?
Ans: Total distance travelled ≈ 1,207 km
Cost = 1,207 × 12
= ₹14,484
👉 Approximate travel cost: ₹14,484
(b) Saloni has selected the route:
Nagpur → Chandrapur → Nanded → Washim → Akola → Malkapur
What would be the total coverage in kilometres?
Ans: After calculating the distances between the cities and adding them:
Total coverage ≈ 830 km
(c) Vishwasrao is transporting goods from
Alibag (Raigad district) to Naldurg (Osmanabad district).
How many kilometres will he cover for a to and fro journey?
Ans: Distance (one way) ≈ 436.5 km
To and fro distance = 436.5 × 2
= 873 km
👉 Total distance covered ≈ 873 km
✨ Summary for Students
- Large scale maps show small areas in detail.
- Small scale maps show large areas with less detail.
- Always convert units properly while solving scale problems.
- Remember: 1 km = 100,000 cm.