Question
a cube has a volume of 216 cubic inches. what is the edge length of the cube
Answers
GPT-4o mini
To find the edge length of a cube given its volume, you 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.
Given the volume \( V = 216 \) 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:
\[
s = 6
\]
Therefore, the edge length of the cube is **6 inches**.
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one edge.
Given the volume \( V = 216 \) 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:
\[
s = 6
\]
Therefore, the edge length of the cube is **6 inches**.