Question

A model of a ship is made to a scale of 1:160 find the length of the ship if the length of its model is 1.2m, tthe area of deck of the ship if the area of deck of its model is 1.2m square,the volume of the ship if the volume of its model is 1.2m cube

Answer 1

LENGTH = length * scale factor

AREA = area * (scale factor)^2

VOLUME = volume * (scale factor)^3

Answer 2

The scale factor=k=1/160
1.Length of model=k*length of ship
1.2=1/160*length of ship

Therefore,length of ship=160*1.2=192

2.Area of the deck of model=k^2*area of deck of ship
1.2m^2=k^2*area of deck of ship
Therefore,area of deck of ship=1.2*160^2=30,720m^2

3.volume of model=k^3*volume of ship
Therefore,volume of ship=1.2m^3*160^3
=49,15,200m^3

Answer 3

A model boat is made on a scale of 1 : 128. If the boat model has a length of 30 cm, what is the length of the actual boat?