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  2. Prism (geometry) - Wikipedia

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

    The surface area of a right prism is: +, where B is the area of the ... The simplest twisted prism has triangle bases and is called a Schönhardt polyhedron.

  3. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    Triangular bipyramid. In geometry, a triangular prism or trigonal prism[ 1 ] is a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both semiregular and uniform. The triangular prism can be used in constructing ...

  4. Triaugmented triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triaugmented_triangular_prism

    A triaugmented triangular prism with edge length has surface area [10], the area of 14 equilateral triangles. Its volume, [10] +, can be derived by slicing it into a central prism and three square pyramids, and adding their volumes.

  5. 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 ...

  6. Augmented triangular prism - Wikipedia

    en.wikipedia.org/wiki/Augmented_triangular_prism

    An augmented triangular prism with edge length has a surface area, calculated by adding six equilateral triangles and two squares' area: [2] +. Its volume can be obtained by slicing it into a regular triangular prism and an equilateral square pyramid, and adding their volume subsequently: [ 2 ] 2 2 + 3 3 12 a 3 ≈ 0.669 a 3 . {\displaystyle ...

  7. 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 ...

  8. 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 work ...

  9. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.