Question

question 3. the average lead for a mechanical pencil is 6.0 cm long when it is new. which conversion factor should you use to find its length in inches? (1 in = 2.54 cm) 1 in.
\frac{2.54 cm}{1 in.} 2.54 cm \frac{1 in.}{2.54 cm} 6.0 cm \frac{1 in.}{6.0 cm} 1 in. \frac{6.0 cm}{1 in.}

Explanation:

Step1: Analyze unit conversion

We know that \(1\) inch (\(1\) in.) is equal to \(2.54\) centimeters (\(2.54\) cm). To convert from centimeters to inches, we use the conversion factor \(\frac{1\mathrm{in.}}{2.54\mathrm{cm}}\).

Step2: Check the given problem

The length of the pencil is \(6.0\) cm. To find its length in inches, we multiply \(6.0\) cm by the conversion factor \(\frac{1\mathrm{in.}}{2.54\mathrm{cm}}\). So the correct conversion factor to use is \(\frac{1\mathrm{in.}}{2.54\mathrm{cm}}\)

Answer:

\(\frac{1\mathrm{in.}}{2.54\mathrm{cm}}\)