If six cube are arranged edge to edge having radius 10 then it's surface area is ------
To find the surface area of the arrangement of six cubes arranged edge to edge, we need to consider the surface area of each individual cube and then multiply it by six since there are six cubes.
The surface area of a cube is given by the formula:
Surface area = 6 * (side length)^2
In this case, the radius of each cube is given as 10 units. To find the side length of the cube, we need to remember that the diameter of a cube is equal to the side length multiplied by the square root of 3.
So, the side length of each cube is:
Side length = (diameter) / (√3)
= (2 * radius) / (√3)
= (2 * 10) / (√3)
≈ 11.547
Now, we can calculate the surface area of each cube:
Surface area of one cube = 6 * (side length)^2
= 6 * (11.547)^2
≈ 800.04 square units
Finally, to find the total surface area of the arrangement of six cubes, we need to multiply the area of one cube by six:
Total surface area = Surface area of one cube * 6
≈ 800.04 * 6
≈ 4800.24 square units
Therefore, the surface area of the arrangement of six cubes arranged edge to edge with a radius of 10 is approximately 4800.24 square units.