Question

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

Answer 1

Scale factor = k = 1/300

(i) length of model = k * actual length of the ship

=> actual length of the ship = 2 * 300 = 600 m

(ii) area of the deck of the model = k^2 * area of the deck of the ship

=>(1/300)^2 * 180000 m^2

=> 2 m^2

(iii) volume of the model = k^3 * volume is the ship

=> volume of the ship = (1/k^3)*6.5 m^3

=> (300)^3*6.5 m^3