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Question
A model of a ship is made to a scale 1: 300
1) The length of the model of the ship is 2 m. Calculate the lengths of the ship.
2) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model.
3) The volume of the model in 6.5 m3. Calculate the volume of the ship.
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Solution
1) Scale factor k = `1/300`
Length of the model of the ship = k Length of the ship
`=> 2 =1/300 xx "Length of the ship"`
⇒ Length of the ship = 600 m
2) Area of the deck of the model = k2 x Area of the deck of the ship
⇒ Area of the deck of the model = `(1/300)^2 xx 180000`
`= 1/90000 xx 180000`
= 2m2
3) A volume of the model = k3 x Volume of the ship
`=> 6.5 = (1/300)^3 xx "Volume of the ship"`
⇒ Volume of the ship = 6.5 27000000 175500000 m3
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