Question

A scale model of a building is $5.4\,ft$ tall. If the original building is $810\,m$ tall. What was the scale used to make the model?

Answer 1

Hint: Here, in the given question, we are given that a scale model of a building is $5.4\,ft$ tall and we need to find what scale is used to make the model if the original building is $810\,m$ tall. Here, we have reduced the size of the building which is $5.4\,ft$ tall and the actual size of the building as $810\,m$ tall. At first, we will convert $5.4\,ft$ into meters. After this, we will calculate scale by dividing the reduced size by actual size to get our final answer.

Formula used:
$1\,foot = 0.3048\,m$
Scale = reduced size in meters / actual size in meters

Complete step by step answer:
Given,the scale model of a building is $5.4ft$ tall and the original building is $810meters$ tall.We will first convert $5.4ft$ into meters. As we know $1\,foot = 0.3048\,meters$.Therefore, we get
$ \Rightarrow 5.4feet = 5.4 \times 0.3048meters$
On multiplication of terms, we get
$ \Rightarrow 5.4\,feet = 1.64592\,m$
Scale = reduced size in meters / actual size in meters
Scale = $\dfrac{{1.64592}}{{810}}$
On division of terms, we get
Scale = $0.0022032$

Therefore, the scale used to make the model is $0.0022032$.

Note: The key concept to solve this type of question is to learn the conversions of measurements. Calculations should be done in same unit either in $feet$ or in $meter$.Here, we have converted $feet$ into $meters$, we can solve the given question by converting $meters$ into $feet$ also, by using $1\,meter = 3.2808\,feet$ formula. The answer will remain the same. We should take care of the calculations so as to be sure of our final answer.