Want this question answered?
Be notified when an answer is posted
Chat with our AI personalities
to obtain the ratio of surface area to volume, divide the surface area by the volume.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
The surface area of a polyhedron can be calculated by first calculating the area of each of its polygonal surfaces and adding these together.The surface area of some curved solids (sphere, cylinder, cone) can be calculated from formula but for most curved solids are more complicated and require integration.
For any cube with sides of length 'S':The area of each face is S2 .The total surface area is 6S2 .The volume is S3 .The ratio of surface area to volume is ( 6S2/S3 ) = 6/S .If 'S' is 0.2, then the ratio is (6/0.2) = 30.====================================Note:We're uncomfortable with this whole thing, because it deals exclusivelywith the numbers, and it completely ignores the units and dimensions.
to find the surface area you have to first find the area of each part then add the areas together.