Answer
13 m
Step-by-step explanation
The volume of a square prism is calculated as follows:
[tex]V=a^2h[/tex]where a is the base edge and h is the height of the prism.
Substituting V = 5408 cubic meters and h = 32 m, and solving for a:
[tex]\begin{gathered} 5408=a^2\cdot32 \\ \frac{5408}{32}=\frac{a^2\cdot32}{32} \\ 169=a^2 \\ \sqrt{169}=\sqrt{a^2} \\ 13\text{ m}=a \end{gathered}[/tex]