Question

A board measures 68 inches. How many feet is this?

Answer 1

We are given a board with a measurement of 68 inches. To find the measurement in inches, we will learn about the unitary method and we will learn about the relation between different units of conversion of length. We will use 1 foot = 12 inches to find the number of feet in inches and then we find the number of feet in 68 inches using the unitary method.

Complete answer:
We are given a board that measures 68 inches. We are asked to find how long it will be if we measure it in feet. To do our problem, we will learn about feet and inches. Now, to measure any kind of item, we have different standard units like meter scale, kilometer scale. For different things, we measure things on a different scale but all the things mean all the scales are interrelated to each other like if we say that road is 2km (kilometer) long then we can also find out that how much longer the road is in the meter scale as we know the meter as km scale are connected as 1km has 1000 meters which mean 1 km = 1000m.
So, if we say the road is 2km, then it means the road is 2000m. Along with the relation between the two scales, we also need the unitary method to find the conversion. The unitary method is a technique that helps us in finding the cost of n number of items if we know the cost of 1 item, that is if we have
1 item of x = 2 items of y
Then, n items of x will be
$\text{n items of }x=n\times 2\text{ items of y}$
$\Rightarrow \text{n items of }x=2n\text{ items of y}$
So, using the relation between the scale and the unitary method, we can find our solution. Now, we are asked to find the measurement in feet if the measurement is available to us in inches. We know a relation between foot and inches which says
12 inches = 1 foot
Now, we will first find the value of 1 inch using the unitary method. So, the value of
$1\text{ inch}=\dfrac{1}{12}\text{foot}$
Now, we will calculate the value of 68 inches. We will multiply both the sides by 68, so we get,
$\Rightarrow 68\text{ inches}=\dfrac{1}{12}\times 68\text{ feet}$
On solving, we get,
$\Rightarrow 68\text{ inches}=5.67\text{ foot}$
So, we get that a board measurement in the feet is 5.67.

Note: While conversion, remember that when we move from small quantities to big quantities we will always divide the term by the base scale. For example, if we have 2000m and we want km, then we divide 2000 by 1000 which is the basic conversion between m and km and while we move from bigger to smaller, we will multiply.