Question

How many square inches are in a square yard?

Answer 1

Hint: In order to solve the given question, we should know that inch and yard are units of length. Length can be measured in various units such as inch, kilometer, meter, foot, yard, mile and so on. Various identities are used in order to find out the distance in inches and yards.

Complete step-by-step answer:
The given question is based on distance. Before starting the question, we should know what is inch and what is yard.
Inch: The inch is a unit of length. One-inch equals $ \dfrac{1}{{36}} $ yard.
Yard: The yard is a unit of length. One-yard equals $ 36 $ inches.
One distance unit can be easily converted to another unit. There are certain identities which can be used in order to convert the units. Now, let us convert inch measurement to a yard measurement.
The identity of inches to yards is: $ 1\;yard = 36\;inches $ .
We have to get the amount of a square yard, which can be done by squaring the number of inches that are in one-yard.
 $ 1\;yard = 36\;inches $
Square yard = $ {\left( {36} \right)^2} = 1296 $
Thus, there are $ 1296 $ square inches in a square yard.
So, the correct answer is “ $ 1296 $ ”.

Note: We have to use identities so that we can easily solve any problem related to conversion of units. The given problem was distance related. Inches should be used for measuring short distances while yards can be used to measure larger objects which would be difficult to measure with inches or feet. While dealing with geographical distances, miles should be used.