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  2. List of formulas in elementary geometry - Wikipedia

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

    Rectangle (+) is length, is breadth Circle: or : where is the ... This is a list of volume formulas of basic shapes: [4]: 405–406 ...

  3. Paper bag problem - Wikipedia

    en.wikipedia.org/wiki/Paper_bag_problem

    A cushion filled with stuffing. In geometry, the paper bag problem or teabag problem is to calculate the maximum possible inflated volume of an initially flat sealed rectangular bag which has the same shape as a cushion or pillow, made out of two pieces of material which can bend but not stretch.

  4. Volume - Wikipedia

    en.wikipedia.org/wiki/Volume

    Some SI units of volume to scale and approximate corresponding mass of water. To ease calculations, a unit of volume is equal to the volume occupied by a unit cube (with a side length of one). Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3).

  5. 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

  6. Numerical integration - Wikipedia

    en.wikipedia.org/wiki/Numerical_integration

    "Quadrature" is a historical mathematical term that means calculating area. Quadrature problems have served as one of the main sources of mathematical analysis . Mathematicians of Ancient Greece , according to the Pythagorean doctrine, understood calculation of area as the process of constructing geometrically a square having the same area ...

  7. Minimum bounding box algorithms - Wikipedia

    en.wikipedia.org/wiki/Minimum_bounding_box...

    It is a type of bounding volume. "Smallest" may refer to volume, area, perimeter, etc. of the box. It is sufficient to find the smallest enclosing box for the convex hull of the objects in question. It is straightforward to find the smallest enclosing box that has sides parallel to the coordinate axes; the difficult part of the problem is to ...

  8. 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.

  9. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]