Question

What is 120 inches in feet?

Answer 1

Hint: We will consider the relationship between inch and feet given as: 1 feet = 12 inches. Now, we will use the unitary method to find the measure of 1 inch in terms of feet. To find the measure of 120 inches in feet, we will multiply both the sides with 120 in the relation obtained in the previous step and simplify to get the answer.

Complete step by step answer:
Here, we are provided with a length of 120 inches and we have to convert it into feet. But first we need to know the relation between inch and feet for the required conversion.
We know that both inches and feet are the units used for the measurement of small lengths or distances between the two points. These units are inter-convertible and related to each other with the relation: 1 feet = 12 inches, i.e. 1 feet measures 12 inches. So, applying the unitary method to find the measure of one inch in terms of feet by dividing both the sides with 12 we get,
$\Rightarrow \dfrac{1}{12}$ feet = 1 inch
$\Rightarrow $ 1 inch = $\dfrac{1}{12}$ feet
Therefore we can say that once inch measures one-twelfth of a feet. We need to determine the measure of 12 inches, so multiplying both the sides with 120 in the above relation we get,
\[\Rightarrow \] 120 inches = $\dfrac{1}{12}\times 120$ feet
On simplifying we get,
$\therefore $ 120 inches = 10 feet

Hence, 120 inches is equivalent to 10 feet.

Note: One must remember the relationship between several units of measurement of distance like: inch, feet, millimetre, centimetre, metre, kilometer, miles etc. Note that 1 feet = 25.4 mm = 2.54 cm = 0.0254 m. In the above solution we have applied the basic approach of the unitary method to get the answer as there are no other methods.