Question

A six pack of soft drinks contains $5$ cans of $330ml$ each. What is the total volume of soft drink in a six pack? Give the answer in litres.

Answer 1

Hint: The given question is a word problem revolving around mathematical operations. If you need to answer these types of questions, then you need to be clear with the language. In the problem, we are given the number of cans in each pack and volume of each can. We are required to find the volume of the entire six pack and report the answer in litres. So, we will first multiply the volume of each can with the number of cans to find the volume of cans in the pack. Then, we will change the unit of volume from millilitre to litres in order to get to the final answer.

Complete step-by-step answer:
So, the number of cans in each pack $ = 5$
Volume of each can $ = 330ml$
So, volume of $5$ such packs $ = 5 \times 330ml$
Doing the multiplication and simplifying the expression, we get,
$ = 1650\,ml$
So, the volume of a pack of soft drinks containing $5$ cans of $330ml$ each is $1650\,ml$.
Now, we have to convert the answer to litres. So, we know that one litre is equal to a thousand millilitres.
So, we have $1l = 1000ml$.
Now, we find the volume of 1 millilitre in litres by dividing the above equation by $1000$. So, we get, $1ml = \dfrac{1}{{1000}}l$.
Now, we multiply both sides of the above equation by $1650$ to find the volume of $1650\,ml$ in litres. So, we get, $1650\,ml = \dfrac{{1650}}{{1000}}l$.
Now, we know that division by any power of ten is an easy task. We just have to place the decimal point to the left of the same number of digits as the number of zeroes in the power of ten.
So, we get, $1650\,ml = \dfrac{{1650}}{{1000}}l = 1.650l$
Therefore, the volume of a pack of soft drinks containing $5$ cans of $330ml$ each is $1.65\,l$.

Note: The above-mentioned method can be remembered as a complete process for solving these types of questions. Be careful with the language while attending these types of questions, because there are many questions which may confuse you with the tricky and typical language. These types of questions are easy to solve when you are writing an exam as it takes less time to solve when you are thorough with this concept and have practised ample amount of questions. Take care while converting the units of measurement.