Final answer:
To find the amount of fuel in liters needed to travel 346 km with a vehicle that has a fuel efficiency of 40.0 miles per gallon, convert the distance to miles and the gallons to liters, resulting in 20.35 liters. This value, however, does not match the given options.
Step-by-step explanation:
To calculate how many liters of fuel would be needed for a hybrid vehicle to travel 346 km with a fuel efficiency of 40.0 miles per gallon, we need to follow these steps:
- Convert the travel distance from kilometers to miles. Since 1 mile is approximately 1.60934 kilometers, we divide 346 km by 1.60934 to get the distance in miles.
- Calculate the number of gallons of fuel needed for the trip by dividing the distance in miles from step 1 by the fuel efficiency of the vehicle (40 miles/gallon).
- Convert the gallons of fuel to liters by multiplying the number of gallons by 3.78541, which is the number of liters in a gallon.
Following these steps:
- 346 km / 1.60934 = 214.994 miles
- 214.994 miles / 40 miles/gallon = 5.375 gallons
- 5.375 gallons * 3.78541 L/gallon = 20.35 liters (rounded to three significant figures)
Therefore, the correct amount of fuel needed is 20.35 liters. Since this option is not available among the given choices, there might be a misunderstanding in the question, or there might be an error with the provided answer options.