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 : ${10}^{-9}$