Question

How do you convert \[17.3c{m^3}\] to liters?

Answer 1

Hint: To convert between cubic centimetre and liters, it is helpful to know that a cubic centimetre is the same as a millilitre. That is \[1c{m^3} = 1\;ml\] . The conservation factor between millimeters and liters is \[1000\;ml = 1\;L\] . Therefore the conversion factor between cubic centimetre and liters is \[1000\;c{m^3} = 1\;L\] . Using this we can solve this.

Complete step-by-step answer:
Now, we need to convert \[17.3c{m^3}\] to liters,
Since we know that
 \[1000\;c{m^3} = 1L\]
Then we can say that 1 cubic centimetre is \[\dfrac{1}{{1000}}\] times 1 liters.
So to convert \[17.3c{m^3}\] to liters, all we need to do is divide by 1000.
 \[ \Rightarrow 17.3c{m^3} = 17.3 \times \dfrac{1}{{1000}}L\] .
 \[ = 0.0173L\] .
That is,
 \[ \Rightarrow 17.3\;c{m^3} = 0.0173L\] . This is the required result.
So, the correct answer is “ \[ 17.3\;c{m^3} = 0.0173L\]”.

Note: Suppose if they ask us to convert liters to cubic meters, all we need to do is multiply the given number by 1000. Let’s just take the given problem as an example. Suppose if they ask How do you convert \[0.0173L\] to cubic centimetre.
 \[0.0173L = 0.0173 \times 1000c{m^3}\]
 \[ = 17.3c{m^3}\] .
That is we have, \[0.0173L = 17.3c{m^3}\] . Careful in the dividing part and decimal pointing.