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2. Surface area - Wikipedia

   en.wikipedia.org/wiki/Surface_area

   A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

3. Square–cube law - Wikipedia

   en.wikipedia.org/wiki/Square–cube_law

   Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.

4. Surface-area-to-volume ratio - Wikipedia

   en.wikipedia.org/wiki/Surface-area-to-volume_ratio

   The surface-area-to-volume ratio has physical dimension inverse length (L −1) and is therefore expressed in units of inverse metre (m-1) or its prefixed unit multiples and submultiples. As an example, a cube with sides of length 1 cm will have a surface area of 6 cm 2 and a volume of 1 cm 3. The surface to volume ratio for this cube is thus

5. Sphericity - Wikipedia

   en.wikipedia.org/wiki/Sphericity

   Defined by Wadell in 1935, [1] the sphericity, , of an object is the ratio of the surface area of a sphere with the same volume to the object's surface area: = where is volume of the object and is the surface area.

6. File:Comparison of surface area vs volume of shapes.svg

   en.wikipedia.org/wiki/File:Comparison_of_surface...

   Graphs of surface area, A against volume, V of all 5 Platonic solids and a sphere by CMG Lee, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume. The dashed lines show that when the volume increases 8 (2³) times, the surface area increases 4 (2²) times.

7. Specific surface area - Wikipedia

   en.wikipedia.org/wiki/Specific_surface_area

   Scratches, represented by triangular-shaped grooves, make the surface area greater. Specific surface area (SSA) is a property of solids defined as the total surface area (SA) of a material per unit mass, [1] (with units of m 2 /kg or m 2 /g). Alternatively, it may be defined as SA per solid or bulk volume [2] [3] (units of m 2 /m 3 or m −1).

8. On the Sphere and Cylinder - Wikipedia

   en.wikipedia.org/wiki/On_the_Sphere_and_Cylinder

   The ratio of the volume of a sphere to the volume of its circumscribed cylinder is 2:3, as was determined by Archimedes. The principal formulae derived in On the Sphere and Cylinder are those mentioned above: the surface area of the sphere, the volume of the contained ball, and surface area and volume of the cylinder.

9. Allen's rule - Wikipedia

   en.wikipedia.org/wiki/Allen's_rule

   A composite cube with a side of 2 has a volume of 8 units 3 but a surface area of only 24 units 2. A rectangular prism two cubes wide, one cube long and four cubes tall has the same volume, but a surface area of 28 units 2. Stacking them in a single column gives 34 units 2.