Well, first of all, that's no cube. All three dimensions of a cube are the same number.
If they're not, then it's not a cube.
-- The volume of that thing is (1 x 1 x 6) = 6 cubic units.
-- Its surface area is [ 2 x (1 x 1) + 4 x (1 x 6) ] = (2 + 24) = 26 square units.
-- The ratio of surface area to volume is 26 square units/6 cubic units = 41/3 per unit.
-- For a cube, the ratio is always 6 per unit.
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The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
1) Calculate the area 2) Calculate the volume 3) Divide the area by the volume to get the ratio
The surface area to volume ratio of a cell affects the rate of diffusion in that the higher the ratio, the faster the rate of diffusion. This is a directly proportional relationship.
The surface-area-to-volume ratio also called the surface-to-volume ratio and variously denoted sa/volor SA:V, is the amount of surface area per unit volume of an object or collection of objects. The surface-area-to-volume ratio is measured in units of inverse distance. A cube with sides of length a will have a surface area of 6a2 and a volume of a3. The surface to volume ratio for a cube is thus shown as .For a given shape, SA:V is inversely proportional to size. A cube 2 m on a side has a ratio of 3 m−1, half that of a cube 1 m on a side. On the converse, preserving SA:V as size increases requires changing to a less compact shape.