Volume of a cube is given by the formula `V=s^(3)`, where s is the length of the side. Find the side of the cube if its volume is 10.648 cubic units.

Answer

To find the side of a cube when given its volume, we can follow these steps:

### Step-by-Step Solution:

1. **Write the formula for the volume of a cube**:
The volume \( V \) of a cube is given by the formula:
\[ V = s^3 \]
where \( s \) is the length of a side of the cube.

2. **Set the volume equal to the given value**:
We are given that the volume \( V \) is 10.648 cubic units. Therefore, we can write:
\[ s^3 = 10.648 \]

3. **Solve for \( s \)**:
To find \( s \), we need to take the cube root of both sides of the equation:
\[ s = \sqrt[3]{10.648} \]

4. **Calculate the cube root**:
We can calculate the cube root of 10.648 using a calculator or estimation. The cube root of 10.648 is approximately:
\[ s \approx 2.2 \]

5. **Conclusion**:
Therefore, the length of the side of the cube is:
\[ s \approx 2.2 \text{ units} \]