Question

Suppose you are $5$ feet $2$ inches tall. Mention your height in centimeters.

Answer 1

Hint: Here we will use the correlation between the feet to inches and then inches to centimeters by using the formula that $1$ foot is equal to $12$ inches and one inches is equal to $2.54$ cm. Place the equivalent values in the terms given and then simplify it for the resultant required value.

Complete step by step answer:
Take the given expression: $5$ feet $2$ inches
Place the values, $1$ foot $ = 12$ inches and $1$ inches $ = 2.54$ cm in the above given expression
$5$ feet $2$ inches $ = [(5 \times 12) + 2]2.54$
Simplify the above expression by finding the product of the terms first in the brackets-
$5$ feet $2$ inches $ = [60 + 2]2.54$
Simplify the above expression by finding the sum of the terms –
$5$ feet $2$ inches$ = [62]2.54$
Find the product of the terms in the above expression –
$5$ feet $2$ inches $ = 157.48$cm
Therefore, the height $5$ feet $2$ inches in centimeters is equal to $157.48$ centimeters.

Note:
Know the correlation between different systems of the units. The units are well-defined as the standards for the measurement of the physical quantities which need to be clear to be useful. Internationally, the units are accepted standards for measurements of the physical quantities.
Different types of system of units are –
1. SI (International system of units)
The SI units are the standards of measurement defined by the international system of units.
2. MKS (Meter-kilogram-second) system
The MKS system is defined as the system of units, where length is measured in meters, mass in kilograms and time in seconds.
3. CGS (centimetre-gram-second) system
The CGS system defines the system of units, where length is measured in centimetres, mass in gram and time in seconds.
It is very important to know the difference between the system of units and its conversional ratios between them. Since if we say length of one it does not make any sense, also length of one meter, inch, feet and millimetre.