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
Answers
GPT-4o mini
To find the edge length of a cube 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 edge length.
Given that the volume \( V \) is 216 cubic inches, we can set up the equation:
\[
s^3 = 216
\]
To find \( s \), we take the cube root of both sides:
\[
s = \sqrt[3]{216}
\]
Next, we can calculate the cube root of 216.
The number 216 can be expressed in terms of its prime factors:
\[
216 = 6 \times 36 = 6 \times 6 \times 6 = 6^3
\]
Therefore, the cube root of 216 is:
\[
\sqrt[3]{216} = 6
\]
Thus, the edge length \( s \) of the fish tank is:
\[
\boxed{6} \text{ inches}
\]
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the edge length.
Given that the volume \( V \) is 216 cubic inches, we can set up the equation:
\[
s^3 = 216
\]
To find \( s \), we take the cube root of both sides:
\[
s = \sqrt[3]{216}
\]
Next, we can calculate the cube root of 216.
The number 216 can be expressed in terms of its prime factors:
\[
216 = 6 \times 36 = 6 \times 6 \times 6 = 6^3
\]
Therefore, the cube root of 216 is:
\[
\sqrt[3]{216} = 6
\]
Thus, the edge length \( s \) of the fish tank is:
\[
\boxed{6} \text{ inches}
\]