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# In a Model of a Ship, the Mast is 9 Cm High, While the Mast of the Actual Ship is 12 M High. If the Length of the Ship is 28 M, How Long is the Model Ship? - CBSE Class 8 - Mathematics

ConceptConcept of Direct Proportion

#### Question

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

#### Solution

Let the length of the mast of the model ship be x cm.

The given information in the form of a table is as follows:

 - Height of mast Length of ship Model ship 9 cm x Actual ship 12 m 28 m

We know that the dimensions of the actual ship and the model ship are directly proportional to each other.

Therefore, we obtain:

12/9 = 28/x

x = (28xx9)/12 = 21

Thus, the length of the model ship is 21 cm.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 13: Direct and Inverse Proportions
Ex. 13.1 | Q: 6 | Page no. 208

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Solution In a Model of a Ship, the Mast is 9 Cm High, While the Mast of the Actual Ship is 12 M High. If the Length of the Ship is 28 M, How Long is the Model Ship? Concept: Concept of Direct Proportion.
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