Question
A cube with side length c has a volume of 8 cubic centimeters. The following equation shows the volume of the cube.
c³ = 8
What is the side length of the cube in centimeters?
c³ = 8
What is the side length of the cube in centimeters?
Answers
GPT-4o mini
To find the side length \( c \) of the cube given the volume \( c^3 = 8 \), we can solve for \( c \) by taking the cube root of both sides:
\[
c = \sqrt[3]{8}
\]
Since \( 8 = 2^3 \), we can simplify this:
\[
c = \sqrt[3]{2^3} = 2
\]
Thus, the side length of the cube is \( 2 \) centimeters.
\[
c = \sqrt[3]{8}
\]
Since \( 8 = 2^3 \), we can simplify this:
\[
c = \sqrt[3]{2^3} = 2
\]
Thus, the side length of the cube is \( 2 \) centimeters.