A model of a ship is made to a scale $1 : 300$ . The volume of the model is $6.5 m^{3}$ . Calculate the volume of the ship.

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Solution

$\frac{Volume of the model}{Volume of the ship} = (Scale factor)^{3}$
$\frac{6.5}{Volume of the ship} = {(\frac{1}{300})}^{3}$
$\Rightarrow 6.5 \times 27000000 =$ Volume of the ship
$\Rightarrow 175500000 =$ Volume of the ship
Hence Volume of ship $= 175500000 m^{3}$ .

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A model of a ship is made to a scale 1 : 300.
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(ii) If the area of the deck of the ship is

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A model of a ship is made to a scale 1:300. The volume of the model is 6.5 m3. Calculate the volume of the ship.

Volume of the modelVolume of the ship=(Scale factor)36.5Volume of the ship=(1300)3⇒6.5×27000000= Volume of the ship⇒175500000= Volume of the shipHence Volume of ship =175500000 m3.

A model of a ship is made to a scale $1 : 300$ . The volume of the model is $6.5 m^{3}$ . Calculate the volume of the ship.

$\frac{Volume of the model}{Volume of the ship} = (Scale factor)^{3}$
$\frac{6.5}{Volume of the ship} = {(\frac{1}{300})}^{3}$
$\Rightarrow 6.5 \times 27000000 =$ Volume of the ship
$\Rightarrow 175500000 =$ Volume of the ship
Hence Volume of ship $= 175500000 m^{3}$ .