To determine the edge length of a cube when given its volume, we can use the formula for the volume of a cube:
\[ V = s^3 \]
where \( V \) is the volume and \( s \) is the length of one edge of the cube. In this case, the volume \( V \) is given as 216 cubic inches. We need to find \( s \).
To find \( s \), we can rearrange the formula to solve for \( s \):
\[ s = \sqrt[3]{V} \]
Substituting the volume into the formula gives:
\[ s = \sqrt[3]{216} \]
Next, we find the cube root of 216. We can factor 216 to help us find the cube root:
\[ 216 = 6 \times 36 = 6 \times 6 \times 6 = 6^3 \]
Thus, the cube root of 216 is:
\[ \sqrt[3]{216} = 6 \]
Therefore, the edge length of the fish tank is
\[ \boxed{6} \text{ inches}. \]
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