The surface area of acube is `96 cm^2`. What is the length of its side ?

Options

A. 4 cm
B. 5 cm
C. 6 cm
D. 8 cm

Answer

To find the length of the side of a cube given its surface area, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Surface Area of a Cube**:
The formula for the surface area \( S \) of a cube with side length \( A \) is:
\[ S = 6A^2 \]

2. **Set Up the Equation**:
We know the surface area is given as \( 96 \, \text{cm}^2 \). Therefore, we can set up the equation:
\[ 6A^2 = 96 \]

3. **Solve for \( A^2 \)**:
To isolate \( A^2 \), divide both sides of the equation by \( 6 \):
\[ A^2 = \frac{96}{6} \]
\[ A^2 = 16 \]

4. **Find \( A \)**:
Now, take the square root of both sides to find \( A \):
\[ A = \sqrt{16} \]
\[ A = 4 \, \text{cm} \]

5. **Conclusion**:
The length of the side of the cube is \( 4 \, \text{cm} \).