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A model of a ship is made to a scale 1 :...

A model of a ship is made to a scale 1 : 300.
The length of the model of the ship is 2 m. Calculate the length of the ship. 

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To solve the problem, we need to use the scale factor provided. The scale of the model is given as 1:300, which means that 1 unit of measurement on the model corresponds to 300 units on the actual ship. ### Step-by-Step Solution: 1. **Understand the Scale**: The scale 1:300 means that for every 1 meter on the model, the actual ship is 300 meters long. 2. **Identify the Length of the Model**: The length of the model of the ship is given as 2 meters. 3. **Set Up the Equation**: We can express the relationship between the model and the actual ship using the scale factor: \[ \text{Length of the model} = \frac{1}{300} \times \text{Length of the ship} \] Substituting the known value: \[ 2 = \frac{1}{300} \times \text{Length of the ship} \] 4. **Solve for the Length of the Ship**: To find the length of the ship, we can rearrange the equation: \[ \text{Length of the ship} = 2 \times 300 \] 5. **Calculate the Length**: \[ \text{Length of the ship} = 600 \text{ meters} \] ### Final Answer: The length of the actual ship is **600 meters**.
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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(D)
  1. A triangle ABC has been enlarged by scale factor m = 2.5 to the triang...

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  2. A triangle ABC has been enlarged by scale factor m = 2.5 to the triang...

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  3. A triangle LMN has been reduced by scale factor 0.8 to the triangle L'...

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  4. A triangle LMN has been reduced by scale factor 0.8 to the triangle L'...

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  5. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  6. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  7. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  8. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  9. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  10. A triangle ABC is enlarged, about the point O as centre of enlargement...

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  11. A model of an aeroplane is made to a scale of 1 : 400. Calculate :   t...

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  12. A model of an aeroplane is made to a scale of 1 : 400. Calculate : th...

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  13. The dimensions of the model of a multistorey building are 1.2 m xx 75 ...

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  14. On a map drawn to a scale of 1 : 2,50,000, a triangular plot of land h...

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  15. On a map drawn to a scale of 1 : 2,50,000, a triangular plot of land h...

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  16. A model of a ship is made to a scale 1 : 300. The length of the mode...

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  17. A model of a ship is made to a scale 1 : 300. The area of the deck o...

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  18. A model of a ship is made to a scale 1 : 300. The volume of the mode...

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