1.
One mile is equal to about 1.6 kilometers. If a car is traveling 75 miles per hour, how many kilometers per minute is it traveling?
Worksheet Worksheet 5
A compound unit is a unit that mixes multiple other units together. Some common compound units are speeds like miles per hour (\(\frac{\text{miles}}{\text{hours}}\)) and pressures like pounds per square inch (\(\frac{\text{pounds}}{\text{inch}^2} = \frac{\text{pounds}}{\text{inch} \cdot \text{inch}}\)). When converting these, every unit much be converted individually. Here is an example of converting feet per day into inches per week:
\begin{equation*}
\begin{aligned}
10 \frac{\text{feet}}{\text{day}}
\amp = 10 \frac{\cancel{\text{feet}}}{\cancel{\text{day}}} \cdot \frac{12 \text{ inches}}{1 \cancel{\text{ foot}}} \cdot \frac{7 \cancel{\text{ days}}}{1 \text{ week}} \\
\amp = 840 \frac{\text{inches}}{\text{week}}
\end{aligned}
\end{equation*}
2.
Water has a density of about 8.34 pounds per gallon. Convert this to ounces (weight) per ounce (liquid).
3.
A hectare is the area of a square that is 100 meters on each side. Determine the conversion factor for hectares to square meters.
