Question

One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10 +3 cm 3.)

Answer 1

Since we have a 14 gallon tank this means that in total we need:

`14\cdot231=3234`

cubic inches.

Now, we know that one inche is equal to 2.54 cm then we have that:

`3234in^3\cdot\frac{2.54\text{ cm}}{1\text{ in}}\cdot\frac{2.54\text{ cm}}{1\text{ in}}\cdot\frac{2.54\text{ cm}}{1\text{ in}}=54995.76cm^3`

finally, and since a liter is equal to 1000 cubic centimeters we have that:

`54995.76cm^3\cdot\frac{1\text{ L}}{1000cm^3}=54.99576`

Therefore we need 54.99576 liters of gasoline (this is approximately 55 liters)