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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. Projected area - Wikipedia

    en.wikipedia.org/wiki/Projected_area

    Projected area is the two dimensional area measurement of a three-dimensional object by projecting its shape on to an arbitrary plane. This is often used in mechanical engineering and architectural engineering related fields, especially for hardness testing, axial stress , wind pressures, and terminal velocity .

  4. Three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Three-dimensional_space

    A representation of a three-dimensional Cartesian coordinate system. In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point.

  5. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    The rectangular cuboid ... The surface area of a parallelepiped is the sum of the areas of the bounding parallelograms: ... D 3d order 12 D 2h order 8 C 2h order 4 Image

  6. 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 is the radius, = is the circumference (the length of any one of its great circles), is the surface area,

  7. Computer representation of surfaces - Wikipedia

    en.wikipedia.org/wiki/Computer_representation_of...

    An open surface with u- and v-flow lines and Z-contours shown. In technical applications of 3D computer graphics such as computer-aided design and computer-aided manufacturing, surfaces are one way of representing objects. The other ways are wireframe (lines and curves) and solids.

  8. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    A cube is a special case of rectangular cuboid in which the edges are equal in length. [1] ... The surface area of a cube ... 3D model of a cube.

  9. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    its surface area is the sum of the area of all faces: = (+ +). its space diagonal can be found by constructing a right triangle of height c {\displaystyle c} with its base as the diagonal of the a {\displaystyle a} -by- b {\displaystyle b} rectangular face, then calculating the hypotenuse's length using the Pythagorean theorem : d = a 2 + b 2 ...