ML Aggarwal Solutions Class 10 Mathematics Solutions for Similarity Exercise 13.3 in Chapter 13 - Similarity

Question 52 Similarity Exercise 13.3

A model of a ship is made to a scale of 1 : 200.

If the volume of the model is 200 liters, find the volume of the ship in m³. (100 liters = 1 m³)

Solution:-

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

From the question it is given that, a model of a ship is made to a scale of 1 : 200

Given, the volume of the model is 200 liters

Then, Volume of ship = 200 × (200/1)3

= 200 × 8000000

= (200 × 8000000)/100

= 1600000 m3

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