Question

A model of a ship is made to a scale of $1:250$ calculate:
(i) The length of the ship, if the length of model is $1.6m$.
(ii) The area of the deck of the ship, if the area of the deck of model is $2.4m^2$.
(iii) The volume of the model, if the volume of the ship is $1k{m}^3$.

Answer 1

From the question it is given that, a model of a ship is made to a scale of $1:250$
(i) Given, the length of the model is $1.6m$
Then, length of the ship $=(1.6\times 250)/1$
$=400m$
(ii) Given, the area of the deck of the ship is $2.4m^2$
Then, area of deck of the model $=2.4\times (1/250{)}^2$
$=1,50,000m^2=4m^2$
(iii) Given, the volume of the model is $1k{m}^3$
Then, Volume of ship $=\left(1/2503\right)\times 1k{m}^3$
$=1/(250{)}^3\times {1000}^3$
$=4^3$
$=64m^3$
Therefore, volume of ship is $64m^3$.