Question
A cube has a volume of 8 in.3
. What is the length of one side of the cube?(1 point)
Responses
512 in.3
512 in. cubed
2.83 in.
2.83 in.
223
in.
2 Start Fraction 2 over 3 End Fraction in.
2 in.
. What is the length of one side of the cube?(1 point)
Responses
512 in.3
512 in. cubed
2.83 in.
2.83 in.
223
in.
2 Start Fraction 2 over 3 End Fraction in.
2 in.
Answers
GPT-4o mini
To determine the length of one side 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 side of the cube.
Given the volume \( V = 8 \, \text{in}^3 \):
1. Set up the equation:
\[ s^3 = 8 \]
2. To find \( s \), take the cube root of both sides:
\[ s = \sqrt[3]{8} \]
3. The cube root of 8 is 2:
\[ s = 2 \, \text{in} \]
Thus, the length of one side of the cube is \( 2 \, \text{in} \).
The correct response is **2 in.**
\[ V = s^3 \]
where \( V \) is the volume and \( s \) is the length of one side of the cube.
Given the volume \( V = 8 \, \text{in}^3 \):
1. Set up the equation:
\[ s^3 = 8 \]
2. To find \( s \), take the cube root of both sides:
\[ s = \sqrt[3]{8} \]
3. The cube root of 8 is 2:
\[ s = 2 \, \text{in} \]
Thus, the length of one side of the cube is \( 2 \, \text{in} \).
The correct response is **2 in.**