The surface area to volume ratio for a

**cube**is therefore 6 to 1 (6:1). Of all the**Platonic solids**(solids with identical faces) the**icosahedron**has the lowest surface area to volume ratio. Of all the regular shapes a**sphere**has the lowest possible surface area to volume ratio.Also asked, what is the ratio of surface area to volume?

The

**surface**area to**volume ratio**of an object is the relationship between two measurements. It is the**ratio**of**Surface**area to**volume**. It shows the comparison between the size of the outside of an object and the amount inside. Small or thin objects have a large**surface**area compared to the**volume**.Do the surface area and volume of a cell increase at the same rate?

In the

**same**way, if the**cell**size is decreased, its**volume**and**surface area**will also decrease, but at unequal**rates**. Again, the**volume**would decrease faster than the**surface area**, leading to an**increase**of the**surface**unit to**volume**ratio. Hence, as**cell**size decreases, the**surface area**to**volume**ratio**increases**.Is surface area directly proportional to volume?

The

**volume**of a sphere is V= 4*Pi*R*R*R/3. So for a sphere, the ratio of**surface area**to**volume**is given by: S/V = 3/R. One interesting thing that you should notice is that the**surface area**to**volume**ratio is**inversely proportional**to the size of an object.