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  2. Lateral surface - Wikipedia

    en.wikipedia.org/wiki/Lateral_surface

    This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top. For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face A face = a ⋅ a = a 2. Thus the lateral surface of a cube will be the ...

  3. 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,

  4. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Squarecube_law

    If the sides of the cube were multiplied by 2, its surface area would be multiplied by the square of 2 and become 24 m 2. 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.

  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. Square root of 6 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_6

    Rectangles of area 6, including 2x3 and 3x2 (solid black), and a square of side geometric mean of 2 and 3, or square root of 6 (red dashed); plus a square of side arithmetic mean of 2 and 3 (black dotted) with area 6.25 Distances between vertices of a double unit cube are square roots of the first six natural numbers.

  7. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    The surface area of a cube is six times the area of a square: [4] =. The volume of a cuboid is the product of its length, width, and height. Because all the edges of a cube are equal in length, it is: [ 4 ] V = a 3 . {\displaystyle V=a^{3}.}

  8. Solid angle - Wikipedia

    en.wikipedia.org/wiki/Solid_angle

    Any area on a sphere which is equal in area to the square of its radius, when observed from its center, subtends precisely one steradian. The solid angle of a sphere measured from any point in its interior is 4 π sr. The solid angle subtended at the center of a cube by one of its faces is one-sixth of that, or 2 π /3 sr.

  9. Right circular cylinder - Wikipedia

    en.wikipedia.org/wiki/Right_circular_cylinder

    The lateral surface of a right cylinder is the meeting of the generatrices. [3] It can be obtained by the product between the length of the circumference of the base and the height of the cylinder. Therefore, the lateral surface area is given by: =. [2] Where: represents the lateral surface area of the cylinder; is approximately 3.14;