Question

How many centimeters is \[5.67\] inches?

Answer 1

Hint: Here we will use the concept of the conversion of units. Inches is a length measuring unit. So we will write the number of centimeters which will be equal to the 1 inch using the standard value. Then we will multiply both sides of the conversion equation by \[5.67\] to get the given inches in terms of centimeters.

Complete step by step solution:
The given length is \[5.67\] inches.
Firstly we will write the basic conversion of the length unit of inches into centimeters. We know that 1 inch is equal to \[2.54\] centimeters. Therefore, we get
\[1{\rm{inch}} = 2.54{\rm{cm}}\]
Now we will use this basic conversion to get the given inches into centimeters. As the given length is \[5.67\] inches so we will multiply both sides of the above equation with \[5.67\]. Therefore, we get
\[ \Rightarrow 5.67 \times 1{\rm{inch}} = 5.67 \times 2.54{\rm{cm}}\]
Now we will simply perform the multiplication in the above equation and solve the equation we get
\[ \Rightarrow 5.67{\rm{inch}} = 14.4018{\rm{cm}}\]

Hence, the given length i.e. \[5.67\] inches when converted into centimeters is equal to \[14.4018{\rm{cm}}\].

Note:
We should know the basic terms of the conversation for length or weight or time etc. To convert a dimension given in one unit into another unit we have a converting factor. Generally, for converting some dimensions into smaller units of measurement then we will multiply it with the converting factor and for converting some dimensions into larger units of measurement then we will divide it with the converting factor. We should remember that the kilometer (km), meter (m), inches and centimeter (cm) etc are the units of the measurement of the distance between two points or length. Usually these converting factors for the conversion of weight or length into the other small units are the multiples of 10.