Question

Express $ 6'10'' $ ( $ 6 $ feet $ 10 $ inch) in S.I. unit.
A. $ 2.08 $ cm
B. $ 2.08 $ m
C. $ 2.08 $ mm
D. $ 1.2 $ m

Answer 1

Hint: Here we will use the relation of feet to meters and inches to meter. We know the relation which is expressed as $ 1{\text{ feet = 0}}{\text{.3048}} $ meters and $ 1{\text{ inch = 0}}{\text{.0254}} $ meters will place in the given term and will simplify for the resultant required value.

Complete step-by-step answer:
Here, we are given that to Convert $ 6'10'' $ ( $ 6 $ feet $ 10 $ inch) in S.I. unit.
We know that, $ 1{\text{ feet = 0}}{\text{.3048}} $ meters
Place in the given data,
 $ {\text{6 feet = 6}} \times {\text{0}}{\text{.3048}} $ meters
Simplify the above expression finding the product of the terms,
 $ {\text{6 feet = 1}}{\text{.8288}} $ …. (A)
Now,
 $ 1{\text{ inch = 0}}{\text{.0254}} $ metres
Now, $ 10{\text{ inch = 10}} \times {\text{ 0}}{\text{.0254}} $
Simplify the above expression finding the product for the terms
 $ 10{\text{ inch = 0}}{\text{.254}} $ meters ….. (B)
Add equations (A) and (B)
 $ {\text{6 feet 10 inch = 1}}{\text{.8288 + 0}}{\text{.254}} $
Add the terms in the above expression –
 $ {\text{6 feet 10 inch = 2}}{\text{.0828}} $ meters
Hence, from the given multiple choices the option B is the correct answer.
So, the correct answer is “Option B”.

Note: Always remember the basic conversational relations since these are the most important step to convert the given data in the same system of units as we can compare the quantity without considering its units. Since, one feet and one meter differs by one third and it is the major difference. Also, go through the different sets of the system of units. We have basically three systems –
A.SI unit (System International)
B.MKS system (Meter Kilogram Second system)
C.CGS system (Centimeter gram Second system)