The total surface area (in m²) of a cube, each of whose edges measures 285 m, is:

The correct option is 487350.

To find the total surface area of a cube, we use the standard formula for the surface area of a cube:

$\text{Total Surface Area}=6a^2$

where $a$ is the length of one edge of the cube.

From the given problem, the measure of each edge of the cube is:

$a=285\text{m}$

First, we calculate the area of one face of the cube, which is $a^2$:

$a^2={285}^2$

$a^2=81225{\text{m}}^2$

Now, we multiply the area of one face by 6 to obtain the total surface area of all six faces:

$\text{Total Surface Area}=6\times 81225$

$\text{Total Surface Area}=487350{\text{m}}^2$

Therefore, the total surface area of the cube is 487350 m².