Scale Drawing

Subject: Compulsory Maths

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Overview

Scale drawings are maps or plans of larger objects. they are the same shape as the original but a different size. a scale drawing has a scale or ratio indicating how much smaller it is than the original. scale = drawing length : true length

Scale Drawing

Scale Drawing

A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount is called the scale drawing.

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For example: This drawing has a scale of "1:10", so anything drawn with the size of "1" would have a size of "10" in the real world, so a measurement of 1mm on the drawing would be 10mm on the real horse.
 
Example 1

Write the scale 1 cm to 1 m in ratio form.

Solution

1cm to 1m

= 1cm : 1m

= 1cm : 100cm

= 1 : 100

Example 2

Simplify the scale 5 mm: 1 m

Solution:

5mm : 1m

= 5mm : 100cm

= 5mm : 1000mm

= 5 : 1000

= 1 : 200

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Things to remember
  • A bearing is an angle, measured clockwise from the north direction.
  • A scale drawing of a human cell is larger than the actual size.
  • A scale drawing can be expressed by using a unit in 1 cm to 1 km.
  • It includes every relationship which established among the people.
  • There can be more than one community in a society. Community smaller than society.
  • It is a network of social relationships which cannot see or touched.
  • common interests and common objectives are not necessary for society.
Questions and Answers

Solution:

1 cm to q m

= 1 cm : 1 m

= 1 cm : 100 cm

= 1 : 100

Solution:

5 mm : 1 m

= 5 mm : 100 cm

= 5 mm : 1000 mm

= 5 : 1000

= 1: 200

Solution:

5 cm : 2 km

= 5 cm : 2 km

= 5 cm : 200000 cm

= 1 : 4000

Solution:

Scale = 1 : 5000 = 1 cm : 5000 cm

∴Map distance : actual distance = 1 : 5000

Map distance = 8 cm

Let the actual distance be x cm

Then, 8 : x = 1 : 5000 ( units are in cm)

\(\frac{8}{x}\)=\(\frac{1}{5000}\)

x = 5000 × 8

= 40000

Actual distance = 40000 cm

= \(\frac{40000}{100}\)

= 400m

Solution:

Scale = 1 cm : 5 km

Map distance : actual distance = 1 cm : 5 km

Actual distance = 14 km

Let the map distance be x cm

Then, x cm : 14 km = 1 cm : 5 km

or, \(\frac{x cm}{14 km}\) = \(\frac{1 cm}{5 km}\)

or, \(\frac{x}{14}\) = \(\frac{1}{5}\)

or, 5x = 14

\(\therefore\) x = 2.8

So, the map distance is 2.8 cm

Solution:

  1. Distance between two points= 7 cm [ scale 1 cm = 750 m ]

    Here, Scale 1 cm = 750 m actual distance

    Scale 7 cm = (7×750)m = 5250 m = 5.25 km

    So, the actual distance between two points = 5.25 km

  2. Distance between two points = 6.5 [ scale 1 cm = 1000 miles ]

    Here, Scale 1 cm = 1000 miles actual distance

    scale 6.5 cm = (6.5×1000) miles = 6500 miles

    So, Distance between two points = 6500 miles

  3. Distance between Mobile Bazar and Computer Bazar = 3 cm

    Here, Scale 1 cm =250 actual distance

    Scale 3 cm = (3× 250) m = 750 m

    So, Distance between Mobile Bazar and Computer Bazar = 750 m

     

 

 

Solution:

Here, Actual length 12 km = 1 cm

Actual length 1 km = \(\frac{1}{12}\) cm

∴ Actual length 27 km = Scale \(\frac{1}{12}\) × 27 cm = 2.25 cm

 

Hence, Length map of chakrapath= 2.25 cm

Solution:

.

Let, Buspark = A, School = B, and Hospital = C

1 cm = 100 m the figure is shown according to the data.

In the figure the distance between School and Hospital = 3 cm

1 cm =100 m

3 cm = 300 m

Hence, Actual distance between School and Hospital = 300 m

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