Question

What is the result of converting 14 inches into centimeters?

Answer 1

Hint: We are given two different types of units and we are supposed to convert the one into another. For this, we need to be aware about the formula that is used to convert different types of quantities. We are given the unit of inches here and we are supposed to convert it into centimeters. For this conversion, we simply multiply the quantity given in inches by 2.54, which is the formula used to convert inches to centimeters.

Complete step-by-step solution:
Conversion is one of the most frequently asked questions. And inch and centimeter conversion has the most chances of being asked. To convert one unit quantity into another, we use the per unit method which is as follows:
Suppose we are given with $a$ units of a quantity of type A, now we need to tell how many units of quantity will we get if we convert this into the other type B. For this, we first see what a single unit of type A is equal to when converted to type B. And then we multiply that with the number of units asked to convert.
For example, we know that
$1m=100cm$
So, if we want to know what 2cm is equal to, we simply multiply both sides by 2:
$1m\times 2=2\times 100cm$
$\Rightarrow 2m=200cm$
For the conversion given in the question we use the following formula:
$1\text{ inch}=2.54cm$
We are required to find the value of 14 inches so we multiply both sides by 14:
$1\text{ inch}\times 14=2.54\times 14$
$\Rightarrow 14\text{ inches}=35.56cm$
Hence, the solution is found.

Note: We need to convert inch to centimeter. Not the other way round so make sure you use the correct formula. You might end up using the formula for converting centimeters to inches which would lead to a wrong solution.