16th October 2019

mrreid
16

What 3d shape has the least surface area?

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.
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