Excercise: Scales 1. In a drawing, the scale is 3:10. How many centimetres in re

Question

Excercise: Scales

1. In a drawing, the scale is 3:10. How many centimetres in reality corresponds 7,5 cm in the drawing?

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EXAMPLES 1. In a drawing, the scale is 3:10. How many centimetres in reality corresponds 7.5 cm in the drawing? 2. A real measurement of 25 mts is represented in a drawing by a segment of 5 cm. Which is the scale of the drawing? In an E 1: 5000 scale drawing the length of a seament is 4.5 cm. What is the true longitude in reality 4. The length of a terrain is 3,25 Km aHow is its dimension in a drawing scale E 1:20.000 5. Indicate which scale should be used to represent a dimension of 8 meters in reality to 4 cm in the paper 6. On paper of size of 20x30 cm. We want to draw the floor of a rectangular room of 3.6x 4.5m What scale should we use In a map at scale 1: 1.500.000, the distance between two points is 2.5cm. What is the real distance between the two cities? 8, In a scale map 1: 1.500.000 What will be the distance on map between two cities whose actua distance is 360 km? 9. In a marine map at El:50.000 a distance between two islands of 7.5 cm is measured. What is the real distance between them?

Explanation / Answer

1)

Length of drawing/Real length =3/20

Given Length of drawing=7.5 cm
Length of drawing * 20=3* Real length

Real length=7.5*20/3=50 cm

2))

Given Length of drawing=5 cm
Real length= 25 mts

Scale of drawing=Length of drawing/Real length=0.05/25=1/500

Scale of drawing is 1:500
3))

Length of drawing/Real length =1/5000

Given Length of drawing=4.5 cm
Length of drawing * 5000=1* Real length

Real length of longitude=4.5*5000=22500 cm=225 mts

4))

Length of drawing/Real length =1/20000

Given Real length of terrian=3.25 km= 325000 cm
Length of drawing * 20000=1* Real length

Length of dimension=325000/20000=16.25 cm

5))

Given Length of drawing=4 cm
Real length= 8 mts=800 cm

Scale of drawing=Length of drawing/Real length=4/800=1/200

Scale of drawing is 1:200

6))

Given Length of drawing=20*30=600 cm^2
Real length= 3.6*4.5 mt^2=16.2 mt^2=162000 cm^2

Scale of drawing=Length of drawing/Real length=600/162000=3/810=1/270

Scale of drawing is 1:270

7))
Length of drawing/Real length =1/500000

Given Length of drawing=2.5 cm
Length of drawing * 500000=1* Real length

Real distance between two cities=4.5*500000=2250000 cm=22500 mts =22.5 Km

8))

Length of drawing/Real length =1/500000

Given Real length=360 km= 36000000 cm
Length of drawing * 500000=1* Real length

Length of dimension=36000000/500000=72 cm

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