Question 6:

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?

Answer:

Let the length of the mast of the model ship bexcm.

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:

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

in the answer why do we leave some units in m and some in cm .is it not mistake to do that.

In this case we are dealing with the ratio . Here in both the cases real boat is in metre and model is in cm . So this ratio is 1m : 1cm in both . so these will cancel out each other and have no effect on the solution . However you can first convert it into cm and then proceed to calculation also.

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