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2. 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

3. Tesseract - Wikipedia

   en.wikipedia.org/wiki/Tesseract

   In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces , the hypersurface of the tesseract consists of eight cubical cells , meeting at right ...

4. Square–cube law - Wikipedia

   en.wikipedia.org/wiki/Square–cube_law

   For example, a cube with a side length of 1 meter has a surface area of 6 m 2 and a volume of 1 m 3. If the sides of the cube were multiplied by 2, its surface area would be multiplied by the square of 2 and become 24 m 2. 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 ...

5. List of formulas in elementary geometry - Wikipedia

   en.wikipedia.org/wiki/List_of_formulas_in...

   The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables r {\displaystyle r} is the radius, C = 2 π r {\displaystyle C=2\pi r} is the circumference (the length of any one of its great circles ),

6. Face (geometry) - Wikipedia

   en.wikipedia.org/wiki/Face_(geometry)

   In solid geometry, a face is a flat surface (a planar region) that forms part of the boundary of a solid object.For example, a cube has six faces in this sense.. In more modern treatments of the geometry of polyhedra and higher-dimensional polytopes, a "face" is defined in such a way that it may have any dimension.

7. Surface energy - Wikipedia

   en.wikipedia.org/wiki/Surface_energy

   where z σ and z β are coordination numbers corresponding to the surface and the bulk regions of the material, and are equal to 5 and 6, respectively; a 0 is the surface area of an individual molecule, and W AA is the pairwise intermolecular energy. Surface area can be determined by squaring the cube root of the volume of the molecule:

8. 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 ...

9. Spherical cap - Wikipedia

   en.wikipedia.org/wiki/Spherical_cap

   For example, assuming the Earth is a sphere of radius 6371 km, the surface area of the arctic (north of the Arctic Circle, at latitude 66.56° as of August 2016 [7]) is 2π ⋅ 6371 2 | sin 90° − sin 66.56° | = 21.04 million km 2 (8.12 million sq mi), or 0.5 ⋅ | sin 90° − sin 66.56° | = 4.125% of the total surface area of the Earth ...