Question

A betta fish tank is in the shape of a cube. The volume of the fish tank is 216 cubic inches. What is the edge length, in inches, of the fish tank.

Answer 1

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

\[
\boxed{6} \text{ inches}.
\]