Question 1.28 - Chemistry: Molecular Nature Of Matter And Change

Question

What is the length in inches (in) of a 100.m soccer field?

Step-by-Step Solution

Answer

Answer

 

The length of 100. m soccer field in inches is $3937.008 in$ .

Conversion of m to cm

Conversion of m into cm

The length of the soccer field is given in meters, and we need to convert it to inches. It is known that 1 inch is equal to 2.54 cm, and in 1 cm, there is 0.01 m. So the relation of an inch and meter can be expressed as:

 $1 in = 2.54 cm$

Since the given length is in m and the relation of an inch and cm is known, we will first convert length from m to cm. The relation of m and cm can be expressed as:

$$\begin{gathered} 1m = 100cm \\ Conversion factor= \frac{100cm}{1m} \\ Length ( in cm) = Length ( in m) \times Conversion factor \\ Length ( in cm) = 100\cancel{m}\times \frac{100cm}{1\cancel{m}} \\ = 10000cm \end{gathered}$$

Conversion of cm to inch.

Since 1 inch is equal to 2.54 cm. Thus 10000 cm will be equal to: 

$$\begin{gathered} 1 cm = 2.54 inch \\ Conversion factor = \frac{1 inch}{2.54 cm} \\ Length (in inch) = Length ( in cm) \times Conversion factor \\ Length (in inch) = 10000 \cancel{cm} \times \left(\frac{1 inch}{2.54 \cancel{cm}}\right) \\ = 3937.008 inch \\ The length in inches will be 3937.008 inches. \end{gathered}$$