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A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in cm, of the model; if the length of the aeroplane is 40 m. - Mathematics

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Question

A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in cm, of the model; if the length of the aeroplane is 40 m.

Sum

Solution

Model of an aeroplane to the actual = 1 : 400

∴ Scale factor = `400/1 = k`

Actual length of aeroplane = 40 m

Then length of model = `1/k` × actual length

= `(40 xx 1)/400`

= `1/10 m`

= `1/10 xx 100`

= 10 cm

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Chapter 15: Similarity (With Applications to Maps and Models) - Exercise 15 (D) [Page 229]

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Selina Mathematics [English] Class 10 ICSE
Chapter 15 Similarity (With Applications to Maps and Models)
Exercise 15 (D) | Q 4.1 | Page 229
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