The total surface area of a cube is `"726 m"^(2)`. Find its edge.

Answer

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

### Step-by-Step Solution:

1. **Understand the formula for the total surface area of a cube**:
The total surface area (TSA) of a cube is given by the formula:
\[ \text{TSA} = 6a^2 \]
where \( a \) is the length of an edge of the cube.

2. **Set up the equation using the given total surface area**:
We know from the problem that the total surface area is \( 726 \, m^2 \). Therefore, we can write:
\[ 6a^2 = 726 \]

3. **Solve for \( a^2 \)**:
To isolate \( a^2 \), divide both sides of the equation by 6:
\[ a^2 = \frac{726}{6} \]

4. **Calculate \( \frac{726}{6} \)**:
Performing the division:
\[ a^2 = 121 \]

5. **Find \( a \) by taking the square root of both sides**:
To find the edge length \( a \), take the square root of \( 121 \):
\[ a = \sqrt{121} = 11 \]

6. **Conclusion**:
The edge length of the cube is \( 11 \, m \).

### Final Answer:
The edge of the cube is \( 11 \, m \).