Find the surface area (in cm) of a cube with one of its side as 6 cm.

Options

A. 296
B. 286
C. 36
D. 216

Answer

To find the surface area of a cube with a side length of 6 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for the surface area of a cube**:
The surface area (SA) of a cube can be calculated using the formula:
\[ SA = 6A^2 \]
where \( A \) is the length of one side of the cube.

2. **Substitute the given side length into the formula**:
Here, the side length \( A \) is given as 6 cm. We will substitute this value into the formula:
\[ SA = 6 \times (6 \, \text{cm})^2 \]

3. **Calculate \( (6 \, \text{cm})^2 \)**:
First, we need to calculate \( 6^2 \):
\[ (6 \, \text{cm})^2 = 36 \, \text{cm}^2 \]

4. **Multiply by 6**:
Now, we multiply this result by 6:
\[ SA = 6 \times 36 \, \text{cm}^2 \]
\[ SA = 216 \, \text{cm}^2 \]

5. **Final Result**:
Therefore, the surface area of the cube is:
\[ \text{Surface Area} = 216 \, \text{cm}^2 \]