How many liters of gasoline are needed to fill a 13.2-gallon tank? There are about 1.06 quarts per liter. Round to the nearest tenth for the variable indicated.
The Correct Answer and Explanation is:
liters.
Step-by-step Conversion:
- Understand the relationship between gallons and quarts:
- 1 gallon = 4 quarts
So,
13.2 gallons × 4 quarts/gallon = 52.8 quarts
- 1 gallon = 4 quarts
- Use the conversion between quarts and liters:
- 1 liter ≈ 1.06 quarts
So,
52.8 quarts ÷ 1.06 quarts/liter ≈ 49.8 liters
- 1 liter ≈ 1.06 quarts
✅ Final Answer: 49.8 liters
Explanation
To determine how many liters of gasoline are needed to fill a 13.2-gallon gas tank, we need to convert gallons, a unit commonly used in the United States, into liters, which is used in most other countries and in scientific measurements. This involves two conversion steps.
First, we convert gallons to quarts, because we are given the relationship between quarts and liters. Since there are 4 quarts in a gallon, we multiply the number of gallons by 4. In this case, 13.2 gallons is equal to 13.2 × 4 = 52.8 quarts.
Next, we use the conversion factor between quarts and liters. We are told that there are about 1.06 quarts in 1 liter. To convert from quarts to liters, we divide the number of quarts by the number of quarts per liter. Therefore, we divide 52.8 quarts by 1.06 quarts/liter:52.81.06≈49.8 liters\frac{52.8}{1.06} \approx 49.8 \text{ liters}1.0652.8≈49.8 liters
This tells us that approximately 49.8 liters of gasoline are needed to fill a 13.2-gallon tank. We round the result to the nearest tenth, which is a common practice in measurement to provide a practical level of precision. This kind of unit conversion is important in science, travel, and commerce, where different systems of measurement may be used. Understanding how to accurately convert between units ensures that information is communicated clearly and decisions are made correctly.
