Solution:-
From the question it is given that, a model of a ship is made to a scale of 1 : 200
(i) Given, the length of the model is 4 m
Then, length of the ship = (4 × 200)/1
= 800 m
(ii) Given, the area of the deck of the ship is 160000 m²
Then, area of deck of the model = 160000 × (1/200)2
= 160000 × (1/40000)
= 4 m2
(iii) Given, the volume of the model is 200 liters
Then, Volume of ship = 200 × (200/1)3
= 200 × 8000000
= (200 × 8000000)/100
= 1600000 m3