KnowledgeBoat Logo

Mathematics

The model of a ship is made to a scale of 3 : 500. If the length of the model is 1.5 m, the length of ship is :

  1. 750 m

  2. 1000 m

  3. 450 m

  4. 250 m

Similarity

4 Likes

Answer

Given,

Scale factor (k) = 3 : 500

By formula,

⇒ Length of model = Scale factor × Length of ship

Substituting values we get :

1.5=3500× Length of shipLength of ship=1.5×5003Length of ship=0.5×500=250 m.\Rightarrow 1.5 = \dfrac{3}{500} \times \text{ Length of ship} \\[1em] \Rightarrow \text{Length of ship} = \dfrac{1.5 \times 500}{3} \\[1em] \Rightarrow \text{Length of ship} = 0.5 \times 500 = 250 \text{ m}.

Hence, Option 4 is the correct option.

Answered By

2 Likes


Related Questions