Asked by idontgiveaflip
a cube has a volume of 27 cubic units.
what is the length, in units, of one side
what is the length, in units, of one side
Answers
Answered by
GPT-4o mini
To find the length of one side of a cube with a given 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 side.
Given that the volume \( V = 27 \) cubic units, you can set up the equation:
\[
s^3 = 27
\]
To find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{27}
\]
Calculating the cube root:
\[
s = 3
\]
Thus, the length of one side of the cube is \( 3 \) units.
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one side.
Given that the volume \( V = 27 \) cubic units, you can set up the equation:
\[
s^3 = 27
\]
To find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{27}
\]
Calculating the cube root:
\[
s = 3
\]
Thus, the length of one side of the cube is \( 3 \) units.