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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