Question

Convert $0.34$ ${m^3}$ to mL.
(A) 43 mL
(B) 340000 mL
(C) 34000000 mL
(D) 34000 mL
(E) 340 mL

Answer 1

Hint: Both ${m^3}$ and mL are the units for the measure of volume. ${m^3}$ is used for bigger quantities while mL is used for relatively small quantities. We can say that 1 liter = 1000 mL where m = milli

Complete step by step solution:
We already know that both the units ${m^3}$ and mL are used to describe volume. Now, we will see the relation between them and convert to the given unit.
- ‘m’ in mL stands for milli. It is used to describe the value ${10^{ - 3}}$. So, whenever the prefix ‘m’ is used, we should understand the difference between normal unit and the unit with this prefix.
- So, We can say that 1 mL = $1 \times {10^{ - 3}}$ L
- The relation between ${m^3}$ and L is given as below.
1${m^3}$ = 1000L
So, we can write that $0.34$${m^3}$ = $0.34 \times 1000$ = 340 L
Now, we want the answer in mL unit. So, we will further convert L into mL units.
We know that 1 L = 1000 mL
So, we can write that 340 L = 340 $ \times $ 1000 = 340000 mL
Thus, we obtained that $0.34$ ${m^3}$ = 340000 mL
There is a direct way to convert ${m^3}$ to mL also. For that you need to remember the following relation.
1 ${m^3}$ = 1000000 mL or ${10^6}$ mL
By this relation, we can write that $0.34$ ${m^3}$ = $0.34$ $ \times $ 1000000 = 340000 mL

So, the correct answer of the question is option (B).

Note: Make sure that you remember the relation between all required units well. Below are some common prefixes used before the units.
deci- : ${10^{ - 1}}$
centi : ${10^{ - 2}}$
micro : ${10^{ - 6}}$
nano : ${10^{ - 9}}$