Question
the volume of a cube-shaped box is 216 cubic inches, what is the length of each side of the cube in inches?
Answers
GPT-4o mini
To find the length of each side of a cube, you can use the formula for the volume of a cube, which is:
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one side of the cube. Given that the volume \( V \) is 216 cubic inches, you can set up the equation:
\[
s^3 = 216
\]
To find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{216}
\]
Calculating the cube root of 216:
\[
s = 6
\]
So, the length of each side of the cube is 6 inches.
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one side of the cube. Given that the volume \( V \) is 216 cubic inches, you can set up the equation:
\[
s^3 = 216
\]
To find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{216}
\]
Calculating the cube root of 216:
\[
s = 6
\]
So, the length of each side of the cube is 6 inches.