To calculate the surface area of a cube, you can use the formula:
\[ \text{Surface Area} = 6s^2 \]
where \( s \) is the length of an edge of the cube.
In this case, the edge length \( s \) is given as 16 feet.
Now, plug in the value of \( s \):
\[ \text{Surface Area} = 6(16^2) \]
First, calculate \( 16^2 \):
\[ 16^2 = 256 \]
Now multiply by 6:
\[ \text{Surface Area} = 6 \times 256 = 1536 \text{ ft}^2 \]
Therefore, the surface area of the cube is \( \boxed{1536} \) ft².