Question

In a model of a school building the height of the first floor is 12cm, while the actual height of the first floor is 6m. if the height of the model is 36cm, how high is the school?

Answer 1

Hint: In this question, we have to find out the height of the building of the school. We know that in the model, 12 cm is equal to one floor in real-time. So, we have to find how many floors can be formed with 36cm in the model. After getting the number of floors, we will have to multiply the number of floors with the height of one floor to reach the final solution.

Complete step by step solution:
Given: The height of the first floor is 12 cm, the actual height of the first floor is 6 m, and the height of the model is 36 cm.
We have to find the actual height of the building of the school.
Now, according to the model of school 6 m is represented by 12 cm. Also, we know that in the model, 12 cm is equal to one floor in real-time. So, we have to find how many floors can be formed with 36cm in the model.
Therefore, the number of floors
Mathematically, $\dfrac{{36{\text{ cm}}}}{{12{\text{ cm}}}} = 3$ floors.
So, the number of floors of school is 3
Now, we will multiply the number of floors with a height of 1 floor.
Mathematically, $6{\text{m}} \times {\text{ 3=18 m}}$

The height of the school is $18m$.

Note:
First, we will find out the numbers of floors by dividing the total height of the model by the height of 1 floor then we will multiply the number of floors with the actual height of 1 floor. In the model of the school, 6m is represented by 12cm which means scale $50:1$ is used.