In a construction model of a school building the height of the first floor is 12cm, while the actual height of the first floor is 6m. Now if the height of the model is 36cm, the actual height of the school is ____m.

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Detailed Solution

Concept- The actual height of the school is 18 m.
To solve this question, we need to know the concept of “Equivalent Ratios”, i.e., in this case for example, the ratio of the height of model’s first floor to that of the actual building’s first floor will be equal to the ratio of the height of the whole model to that of the actual building. We will need to convert all the different units to a single unit and then calculate the ratio of the height of the model's first floor to that of the actual building’s first floor. Then, we will use that ratio with the data provided in theQuestion statement about the height of the model to calculate our desired answer.
Also,
Question Image

Given, model of a school building the height of the first floor is 12cm, while the actual height of the first floor is 6m, i.e.,
Question Image

Now, also given is that height of the model is 36cm, then,

Hence, the correct answer is 18 m.

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