Questions: Use metric conversion factors to solve each of the following problems: Part A If a student is 195 cm tall, how tall is the student in meters? Express your answer using three significant figures and include the appropriate units. Part B A cooler has a volume of 6500 mL. What is the capacity of the cooler in liters? Express your answer using two significant figures and include the appropriate units.

Solution Steps

To solve these problems, we need to use metric conversion factors. Specifically, we will convert centimeters to meters and milliliters to liters.

1. Convert the height from centimeters to meters by dividing by 100 (since 1 meter = 100 centimeters).
2. Ensure the answer is expressed with three significant figures.

1. Convert the volume from milliliters to liters by dividing by 1000 (since 1 liter = 1000 milliliters).
2. Ensure the answer is expressed with two significant figures.

To convert the height from centimeters to meters, we use the conversion factor \(1 \text{ meter} = 100 \text{ centimeters}\).

\[ \text{Height in meters} = \frac{195 \text{ cm}}{100} = 1.95 \text{ m} \]

To convert the volume from milliliters to liters, we use the conversion factor \(1 \text{ liter} = 1000 \text{ milliliters}\).

\[ \text{Volume in liters} = \frac{6500 \text{ mL}}{1000} = 6.5 \text{ L} \]

Final Answer