Question 1.29 - Chemistry: Molecular Nature Of Matter And Change

Question

The center on your basketball team is 6 ft 10 in tall. How tall is the player in millimeters (mm)?                       

Step-by-Step Solution

Answer

Answer

 

The length in inches will be 2082.8 mm.

Conversion unit involved

Conversion units are used to convert the measurement to the same unit. A foot can be converted to mm by multiplying with 304.8, and an inch can be converted to mm by multiplying with 25.4. 

 

The conversion unit can be thus written as: 

Conversion unit

Conversion of foot to mm

The given length is in feet which can be converted to mm as:

$$\begin{gathered} 1 foot = 304.8 mm \\ Conversion factor =\frac{304.8 mm }{1 foot} \\ Length ( in mm) = Length ( in foot) \times Conversion factor \\ Length ( in mm) = 6 \cancel{feet} \times \left(\frac{304.8 mm }{1\cancel{ foot}}\right) \\ On further simplification, \\ Length = 1828.28 mm \end{gathered}$$

Conversion of an inch to mm

Since the given length is in inches, it can be converted to mm as

$$\begin{gathered} 1 inch = 25.4 mm \\ Conversion factor = \frac{25.4 mm}{1 inch} \\ Length in mm = length in inch \times Conversion factor \\ Length in mm = 10\cancel{ inch }\times \left(\frac{25.4 mm}{1\cancel{ inch}}\right) \\ Hence, the final length is \\ length= 254 mm \end{gathered}$$

Total length in mm will be the sum of both the values

The sum of 1828.8 mm and 254 mm will be 2082.8 mm. Thus, the length in inches will be 2082.8 mm.