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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. Hyperrectangle - Wikipedia

   en.wikipedia.org/wiki/Hyperrectangle

   In geometry, a hyperrectangle (also called a box, hyperbox, or orthotope [2] ), is the generalization of a rectangle (a plane figure) and the rectangular cuboid (a solid figure) to higher dimensions . A necessary and sufficient condition is that it is congruent to the Cartesian product of finite intervals. If all of the edges are equal length ...

4. Characteristic length - Wikipedia

   en.wikipedia.org/wiki/Characteristic_length

   In physics, a characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula in order to predict some characteristics of the system, and it is usually required by the construction of a dimensionless quantity, in the general framework of dimensional analysis and in particular applications such as fluid mechanics.

5. Heron's formula - Wikipedia

   en.wikipedia.org/wiki/Heron's_formula

   A triangle with sides a, b, and c. In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths ⁠ ⁠ ⁠ ⁠ ⁠ ⁠ Letting ⁠ ⁠ be the semiperimeter of the triangle, the area ⁠ ⁠ is [ 1] It is named after first-century engineer Heron of Alexandria (or Hero) who proved it in his ...

6. Solid geometry - Wikipedia

   en.wikipedia.org/wiki/Solid_geometry

   Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). [1] A solid figure is the region of 3D space bounded by a two-dimensional surface; for example, a solid ball consists of a sphere and its interior . Solid geometry deals with the measurements of volumes of various solids, including pyramids, prisms ...

7. Prism (geometry) - Wikipedia

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

   A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. [5] This applies if and only if all the joining faces are rectangular. The dual of a right n-prism is a right n-bipyramid. A right prism (with rectangular sides) with regular n-gon bases has Schläfli symbol { }×{n}.

8. Numerical integration - Wikipedia

   en.wikipedia.org/wiki/Numerical_integration

   For a quadrature of a rectangle with the sides a and b it is necessary to construct a square with the side = (the Geometric mean of a and b). For this purpose it is possible to use the following fact: if we draw the circle with the sum of a and b as the diameter, then the height BH (from a point of their connection to crossing with a circle ...

9. Parallelepiped - Wikipedia

   en.wikipedia.org/wiki/Parallelepiped

   a polyhedron with six faces ( hexahedron ), each of which is a parallelogram, and. a prism of which the base is a parallelogram. The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all specific cases of parallelepiped. "Parallelepiped" is now usually pronounced ...