Question

One inch equals $2.54\,cm$, how many centimeters tall is a $76\,inch$ man?
A. 20 cm
B. 29.92 cm
C. 193.04 cm
D. 300.04 cm
E. 593.04 cm

Answer 1

Hint:We are given height of man in inches and we need to convert it into cm. Now, we know that 1 inch is equal to 2.54cm. So, the height of the man in cms will be equal to 2.54 multiplied by height of man in inches divided by 1.

Complete step by step answer:
In this question, we are given that a man is 76 inches tall and we need to find his height in centimeters. Also, it is given that one inch equals to 2.54 cm.
Given data:
Height of man in inches $ = 76$ inch
$ \Rightarrow $1 inch $ = 2.54\,cm$
$ \Rightarrow $Height of man in centimeters $ = ?$
Here, to find the height of the man in centimeters, we are going to use the method of cross multiplication. Let the height of man in cm be h. Therefore,
$1\,inch = 2.54\,cm \\
\Rightarrow 76\,inches = h \\ $
Therefore, h will be equal to 76 multiplied by 2.54 divided by 1 and the unit of $h$ will be $cm$.Therefore,
$\Rightarrow h = \dfrac{{76 \times 2.54}}{1} \\
\Rightarrow h = 193.04\,cm$
Hence, the height of the man 76 inches tall in centimeters will be equal to 193.04cm.

Hence, option B is the correct answer.

Note:We can similarly convert cm to inches also by dividing the given value in cm by 2.54 cm. For example: Let us convert 193.04 cm into inches.
193.04 inches in cm $ = \dfrac{{193.04}}{{2.54}} = 76\,inches$