Question

derek lives in canada and enjoys herb gardening. his american friend sent him a guidebook for growing fresh herbs. the book says that it is best to cut bay shoots when they are 3.25 in long. if 1 mm is equivalent to 0.03937 in, how many millimeters long should the bay shoots be when derek cuts them?
a. 8.26 mm
b. 12.80 mm
c. 82.55 mm
d. 95.67 mm

Explanation:

Identify given values and conversion factor

Using the Unit Conversion and Dimensional Analysis knowledge points

$$
LATEXBLOCK0
$$

Set up the conversion ratio

Using the Dimensional Analysis knowledge point

$$ L_{\text{mm}} = 3.25\text{ in} \times \frac{1\text{ mm}}{0.03937\text{ in}} $$

Calculate the length in millimeters

Using the Unit Conversion knowledge point

$$ L_{\text{mm}} = \frac{3.25}{0.03937}\text{ mm} \approx 82.550165\text{ mm} $$

Match with the given options

Using the Unit Conversion knowledge point

$$ L_{\text{mm}} \approx 82.55\text{ mm} $$

Answer:

• a. 8.26 mm
• b. 12.80 mm
• c. 82.55 mm (Correct answer)
• d. 95.67 mm