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Worksheet Worksheet 5
A4US

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*}

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?

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.