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  2. Dimensional weight - Wikipedia

    en.wikipedia.org/wiki/Dimensional_weight

    Dimensional weight is also known as DIM weight, volumetric weight, or cubed weight. Freight carriers utilize the greater of the actual weight or dimensional weight to calculate shipping charges. Dimensional weight is calculated as (length × width × height) / (dimensional factor). Measurements can be made all in inches or all in centimeters ...

  3. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    For example, the volume of a rectangular box is found by measuring and multiplying its length, width, and height (often labeled x, y, and z). This concept of ordinary space is called Euclidean space because it corresponds to Euclid's geometry, which was originally abstracted from the spatial experiences of everyday life.

  4. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    Circular segment. A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk [1] which is "cut off" from the rest of the disk by a straight line.

  5. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Square–cube_law

    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 volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.

  6. Tree measurement - Wikipedia

    en.wikipedia.org/wiki/Tree_measurement

    To calculate trunk volume, the tree is subdivided into a series of segments with the successive diameters being the bottom and top of each segment and its length equal to the difference in height between the lower and upper diameter. Cumulative trunk volume is calculated by adding the volume of the measured segments of the tree together.

  7. 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.

  8. Spherical cap - Wikipedia

    en.wikipedia.org/wiki/Spherical_cap

    In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle), so that the height of the cap is equal to the radius of the sphere, the spherical cap ...

  9. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    From the definition of a cycloid, it has width 2πr and height 2r, so its area is four times the area of the circle. Calculate the area within this rectangle that lies above the cycloid arch by bisecting the rectangle at the midpoint where the arch meets the rectangle, rotate one piece by 180° and overlay the other half of the rectangle with it.

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