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ICSE Class X Math 2016 Paper

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A model of a ship is made to a scale 1:3001: 300 .
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Question : 44 of 57
Marks: +1, -0
The volume of the model is 6.5m36.5 \mathrm{m}^3 . Calculate the volume of the ship.
Solution:  
∴   Volume of the model    Volume of the ship  =\therefore \, \frac{\, \text{ Volume of the model } \,}{\, \text{ Volume of the ship } \,} = scale factor )3)^3
  6.5  Volume of the ship  =( 1300)3\,\, \frac{6.5}{\, \text{ Volume of the ship } \,} = \left( \, \frac{1}{300} \right)^3
 ⇒  6.5×27000000=  Volume of the ship  \, \Rightarrow \,\, 6.5 \times 27000000 = \, \text{ Volume of the ship } \,
 ⇒  175500000=  Volume of the ship  \, \Rightarrow \,\, 175500000 = \, \text{ Volume of the ship } \,
Hence Volume of ship
  =175500000cm3.\,\, = 175500000 \mathrm{cm}^3 .
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