Bot GPT 4-o mini To find the side length \(s\) of a cube with a volume of \(8 , \text{cm}^3\), we start with the formula for the volume of a cube:
\[ V = s^3 \]
Given that \(V = 8 , \text{cm}^3\), we can set up the equation:
\[ 8 = s^3 \]
To solve for \(s\), we take the cube root of both sides:
\[ s = \sqrt[3]{8} \]
The cube root of \(8\) is \(2\) because:
\[ 2^3 = 8 \]
Thus, we find that:
\[ s = 2 , \text{cm} \]
Now, filling in the blanks in your statement:
- \(3\sqrt{8} = 3\sqrt{s^3}\)
- Therefore, the missing value (_) would be:
\[ _ = 8 \]
In conclusion, the completed statement can be:
What is the side length of a cube with a volume of 8 cm³?
- Cube \(V = s^{3}\) \(V = 8 , \text{cm}^{3}\)
\(8 = s^{3}\) \(3\sqrt{8} = 3\sqrt{s^{3}}\) \(2 , \text{cm} = s\)
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