What is Surface-area-to-volume ratio?
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. This gives them a large ratio of surface to volume. Larger objects have small surface area compared to the volume so they have a small surface area to volume ratio. A large lump, for example, has a small ratio, and may be smashed into [[powder]] to give it a large surface to volume ratio. Two common ways of writing it are '''sa/vol''' or '''SA:V'''. Either of these say to divide the surface area by the volume. This shows how much surface area is required for each unit of volume. ==Example== {| class=wikitable |- |Cube 1 measures 1 meter on each side. :It has a surface area of 6 m<sup>2</sup>. [[Surface area]] = [[length]] x length (or length<sup>2</sup>) multiplied by the number of sides (6). :It has a volume of 1 cubic meter. [[Volume]] = length x length x length or length<sup>3</sup>. :: Its ratio is 6 m<sup>2</sup> per cubic meter. |- |Cube 2 had sides that measured 10m :Its surface area is 10<sup>2</sup> x 6 = 600 m<sup>2</sup> :Its volume is 1000 cubic meters ::Its ratio is 0.6 m<sup>2</sup> per cubic meter. |} {{math-stub}} [[Category:Geometry]]