Question

How many kilometers can the car travel on the amount of gasoline that would fit in a soda can? The volume of a soda can is 355 mL

Answer 1

I'll assume that the car is a Honda Insight with EPA gas mileage rating of 57mi/gal in the city.

First, we will convert all units into Km and mL:
1 mile = 1.609344 Km
1gal = 3785.411 mL

Then, we will calculate the distance the car can move by multiplying the mileage rating and the the volume available as follows (note that I will be converting units in the same step):
distance = (57mi/gal) x (1.609344 km/1mi) x (1gal/3785.411mL) x 355mL 
               = 8.6027 Km

Answer 2

The distance the car would travel depends on the gas mileage rating. For example. if the car is a Honda insight with a gas mileage rating of 57 mi/gal, then it would be able to travel 8.60 km with 355 mL of gasoline.

FURTHER EXPLANATION

To solve this problem, the following steps must be done:

1. Find the gas mileage rating of the vehicle.
2. Convert the volume of soda pop can to gallons.
3. Convert the distance from miles to kilometers.

For this problem, the following conversion factors will be used:

(gas mileage rating) 57 mi =  1 gal

1 gal = 3.785 L

1 mi = 1.6093 km

STEP 1: Assuming that the car is a Honda Insight, then the gas mileage rating is 57 mi/gal.

STEP 2: Since the gas mileage rating is given per gallon of gasoline, the volume of gasoline given (355 mL) must be converted to gallons.

$volume \ of \ gasoline \ = 355 \ mL \times \frac{1 \ L}{1000 \ mL} \times \frac{1 \ gal}{3.785 \ L}\\\\boxed {volume \ of \ gasoline \ = 0.09379 \ gal}$

STEP 3. Determine the distance covered in 0.09379 gallons of gasoline.

$distance \ traveled \ = 0.09379 \ gal \times \frac{57 \ mi}{1 \ gal} \times \frac{1.6093 \ km}{1 \ mi}\\\boxed {distance \ traveled \ = 8.603 \ km}$

Since the given problem has 2 significant figures (based on the gas mileage rating), the final answer must also be expressed with 2 significant figures. Therefore,

$\boxed {\boxed {distance \ traveled \ = 8.6 \ km}}$

LEARN MORE

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Keywords: conversion, SI units