54 square inches.
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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
The total surface area is 150mm2 and the volume of the cube 125mm3
If each edge of a cube is w, then the area of each face of the cube is w2 .Since the cube has 6 faces, its total surface area is 6w2.The volume of the cube is w3 .
The surface area is 150 cm2
It is the area of the exposed surface. So if you take a cube, the surface area is the sum of the areas of each of the 6 faces. They are all the same in the case of a cube. In general, add up the surface area of each exposed surface and this is the total surface area.