Question
A cube has a volume of 8 in.3
. What is the length of one side of the cube?(1 point)
Responses
223
in.
2 Start Fraction 2 over 3 End Fraction in.
2 in.
2 in.
2.83 in.
2.83 in.
512 in.3
. What is the length of one side of the cube?(1 point)
Responses
223
in.
2 Start Fraction 2 over 3 End Fraction in.
2 in.
2 in.
2.83 in.
2.83 in.
512 in.3
Answers
GPT-4o mini
To find the length of one side of a cube when you know 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 side of the cube.
Given that the volume \( V = 8 \, \text{in}^3 \), you can set up the equation:
\[
s^3 = 8
\]
Now, to find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{8}
\]
Calculating the cube root of 8, we find:
\[
s = 2 \, \text{in.}
\]
Therefore, the length of one side of the cube is \( 2 \, \text{in.} \)
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one side of the cube.
Given that the volume \( V = 8 \, \text{in}^3 \), you can set up the equation:
\[
s^3 = 8
\]
Now, to find \( s \), take the cube root of both sides:
\[
s = \sqrt[3]{8}
\]
Calculating the cube root of 8, we find:
\[
s = 2 \, \text{in.}
\]
Therefore, the length of one side of the cube is \( 2 \, \text{in.} \)