Question

A model of a ship is made to a scale 1 : 300 [3 MARKS]
i) The length of the ship is 2m. Calculate the length of the ship.
ii) The area of the deck ship is 180,000 $m^2$. Calculate the area of the deck of the model.
iii) The volume of the model is $6.5m^3$. Calculate the volume of the ship.

Answer 1

Each Part: 1 Mark

Given scale - 1 : 300
On comparing with 1 : K, we get
K = 300

i) Length of the model = 2m
Length of the ship = k(length of the model)
$=300\times 2=600m$

ii) Area of the deck ship
$=k^2$ (Area of the deck of the Model)
$180,000=(300{)}^2$ (Area of the Model)
Area of the Model $=\frac{{}^{\text{/}{6}^2}\text{/}180000}{\text{/}300\times \text{/}300}=2m^2$

iii) Volume of the ship $=k^3$ (volume of Model)
$=(300{)}^3\times 6.5$
$=\text{/}27000000\times \frac{65}{\text{/}10}$
$=175500000m^3$