Question

How many feet are in $420$ inches?

Answer 1

Hint: This question belongs to the conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit inches to the unit feets. In the question, we have to find what number of feet corresponds to $420$ inches.

Complete step by step solution:
The feet and inches are the units to measure the length of physical commodities or items. A foot is abbreviated as ft and inch is abbreviated as in. An inch is a metric unit of length and it is used for measuring small lengths as compared to miles. On the other hand, the foot is used to measure longer distances and lengths.
The given question requires us to convert the unit of length. We have to convert $420$ inches into feet.
We know that each foot of length consists of $12$ inches. So, $1\,ft = 12\,inches$.
Let the number of feet that correspond to $420$ inches be x.
Then, to convert $420$ inches into yards, we follow the unitary method where we first find how many units of feet correspond to a single unit of inch and then multiply both sides of the equation by a suitable number so as to get the desired conversion of $420$ inches.
So, $1\,ft = 12\,inches$.
Dividing both sides by twelve, we get,
Hence, $1\,inch = \dfrac{1}{{12}}\,ft$
Now, multiplying both sides of the equation by $420$, we get,
$ \Rightarrow 420\,inch = \left( {\dfrac{1}{{12}} \times 420} \right)\,ft$
Cancelling common factors in numerator and denominator, we get,
$ \Rightarrow 420\,inch = 35\,ft$
Hence, $420$ inches correspond to $35$ feet.

Note:
We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have a standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.