ANSWER:
0.7 m
STEP-BY-STEP EXPLANATION:
The first thing is to convert the liters to cubic meters, like this:
[tex]340\text{ L}\cdot\frac{1000\text{ mL}}{1\text{ L}}\cdot\frac{1cm^3}{1\text{ mL}}\cdot\frac{1m^3}{1000000{}cm^3}=0.340m^3[/tex]Volume of any cube = x^3,
where,
x = length of each side.
Therefore:
[tex]\begin{gathered} x^3=0.340 \\ \text{ solving for x} \\ x=\sqrt[3]{0.340} \\ x=0.6979\cong0.70\text{ m} \end{gathered}[/tex]