Question

How do you convert $6.08$ gallons to milliliters if $946mL=1qt$ ?

Answer 1

Hint: Here, the term ($qt$ ) is the short form of “quarts”. It is a unit of measuring volume and doesn’t come under the SI Unit of measuring volume. The value of one quart to be used in the given problem is $946mL$. Another term that has been used in the problem is “gallon”. It is also a volume measuring unit and this too doesn’t come under the SI Unit of volume. The value of one gallon is equal to $3.78L$. One gallon is also equal to four quarts.

Complete answer:
In order to convert gallons into milliliters, we first convert gallons into quarts. And then we use the data given for the value of 1qt in terms of milliliters to find our required solution.
We know that one gallon is equal to four quarts.
Then, the value of $6.08$ gallon will be equal to:
$=6.08\times 4$
$=24.32$ quarts
It is also given that, the value of 1 quart is:
$=946mL$
Thus, total milliliters in $6.08$ gallons or $24.32$quarts will be equal to:
$\begin{align}
  & =24.32\times 946mL \\
 & =23006.72mL \\
 & =2.3\times {{10}^{4}}mL \\
\end{align}$
Hence, 6.08 gallons can be written as $2.3\times {{10}^{4}}mL$ .$=24.$

Note:
In this problem, we make use of some very useful conversion units like, quarts to milliliters and gallon to quarts. These basic conversion units are very important and can prove to be of great help in many numerical problems. Sometimes, even a direct question can be asked out of this topic. So, it is very important that these conversion units are remembered thoroughly so that we don’t miss out on getting some easy marks.