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The model of a ship is made to a scale of 3 : 500. If the length of the model is 1.5 m, the length of ship is ______.

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Question

The model of a ship is made to a scale of 3 : 500. If the length of the model is 1.5 m, the length of ship is ______.

Options

  • 750 m

  • 1000 m

  • 450 m

  • 250 m

MCQ
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Solution

The model of a ship is made to a scale of 3 : 500. If the length of the model is 1.5 m, the length of ship is 250 m.

Explanation:

Given,

Scale factor (k) = 3 : 500

By formula,

⇒ Length of model = Scale factor × Length of ship

Substituting values we get:

⇒ 1.5 = `3/500` ×  Length of ship

⇒ Length of ship = `(1.5×500)/3`

⇒ Length of ship = 0.5 × 500

= 250 m

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Chapter 15: Similarity (With Applications to Maps and Models) - TEST YOURSELF [Page 232]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 15 Similarity (With Applications to Maps and Models)
TEST YOURSELF | Q 1. (g) | Page 232
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