If you mean surface area, the answer is 197.372 mm2
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To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5
This should be solved in two steps. 1) Use the formula for the area of a cube, and solve for the length of a side of the cube. 2) Using this length, it is easy to find out the volume, with the formula for the volume of a cube.
First you can use the volume to determine the side legnth of a cube. The legnth of a sideis equal to the cube root of its volume. In this case the volume is 125 and the cubed root of 125 is 5. So the legnth of a side is 5. The area of one side of the cube is equal to the width times the height. In this case, the area of the side is 5 times 5, or 25. The surface area is the area of all sides of the cube. The cube has 6 sides, each with an area of 25. So the surface area is 6 times 25 or 150. The reduced equation would be SA = 6 times (Volume to the 2/3 power)
Divide the surface area by six. That will give you the area of one face, which will be a perfect square. The square root of that number will give you the length of a side. The cube of the side will be the volume.
The easiest way to find the volume of a cube is to find the length of its edgeand then cube that number.Here's how to find the length of the edge from the total surface area:-- A cube has 6 faces. If its total surface area is 96 square units, thenthe area of each face is 16 square units.-- Each face is a square. If the area of the square is 16 square units, thenthe side of the square is 4 units.But the side of the square face is the same as the edge of the cube !-- The volume of the cube is (4 x 4 x 4) = 64 cubic units.