Question

A bottle of drink holds \[250{\text{ }}c{m^3}.\] How many litres will \[24\] bottles hold?
A. \[600{\text{ }}litres\]
B. \[60{\text{ }}litres\]
C. \[6{\text{ }}litres\]
D. \[6000{\text{ }}litres\]

Answer 1

Hint:
To solve this question, we are given the volume of drink in cubic centimetre, so will convert it into litres. Now, after getting the volume of one bottle in litres, similarly, we will find how many litres will \[24\] bottles will hold, after finding this value we will get our required answer.

Complete step by step solution:
We have been given a bottle of drink which holds \[250{\text{ }}c{m^3}.\] We need to find how many litres will \[24\] bottles hold.
So, a bottle of drink holds \[250{\text{ }}c{m^3}.\]

Now, the volume is given in cubic centimetres, so we will first convert the volume of cubic centimetre into litres, for that we will apply the conversion formula of cubic centimetres into litres mentioned below.
We know that, \[1{\text{ }}cubic{\text{ }}centimetre{\text{ }} = 0.001\;Litres,\] i.e., \[1\;c{m^3} = 0.001\;L\]
Then, \[\;250\;c{m^3} = {\text{ }}250{\text{ }} \times {\text{ }}0.001{\text{ }} = {\text{ }}0.25\;L\]
So, one bottle will hold \[0.25\;Litres.\]
Therefore, \[24\] bottles \[ \times {\text{ }}0.25{\text{ }}litres{\text{ }} = {\text{ }}6\;Litres\]

Thus, option (C) \[6{\text{ }}litres,\] is correct.

Note:
Students should notice, then both cubic centimetre and litres are unit of volume but why we have converted the values. Because we were given four options along with a question, and all the options are in litres. So, we had two choices, either to convert first or convert later. So, we chose to convert first and hence we got our answer in litres. And one more reason is there i.e., though these both are the same measurement, there is basically no difference in volume. But the primary difference is that litres are used mainly for fluids while cubic centimetres are used mainly for solids.