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  2. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The surface area of a regular tetrahedron is four times the area of an equilateral triangle: [6] = =. The height of a regular tetrahedron is 6 3 a {\textstyle {\frac {\sqrt {6}}{3}}a} . [ 7 ] The volume of a regular tetrahedron can be ascertained similarly as the other pyramids, one-third of the base and its height.

  3. 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 ...

  4. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    If the edges connecting bases are perpendicular to one of its bases, the prism is called a truncated right triangular prism. Given that A is the area of the triangular prism's base, and the three heights h 1, h 2, and h 3, its volume can be determined in the following formula: [14] (+ +).

  5. 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.

  6. Pyramid (geometry) - Wikipedia

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

    The volume of a pyramid is the one-third product of the base's area and the height. The pyramid height is defined as the length of the line segment between the apex and its orthogonal projection on the base. Given that is the base's area and is the height of a pyramid, the volume of a pyramid is: [25] =.

  7. Prism (geometry) - Wikipedia

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

    The surface area of a right prism is: +, where B is the area of the base, h the height, and P the base perimeter. The surface area of a right prism whose base is a regular n-sided polygon with side length s, and with height h, is therefore: = ⁡ +.

  8. Biaugmented triangular prism - Wikipedia

    en.wikipedia.org/wiki/Biaugmented_triangular_prism

    A biaugmented triangular prism with edge length has a surface area, calculated by adding ten equilateral triangles and one square's area: [2] +. Its volume can be obtained by slicing it into a regular triangular prism and two equilateral square pyramids, and adding their volumes subsequently: [ 2 ] 59 144 + 1 6 a 3 ≈ 0.904 a 3 ...

  9. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    b = the base side of the prism's triangular base, h = the height of the prism's triangular base L = the length of the prism see above for general triangular base Isosceles triangular prism: b = the base side of the prism's triangular base, h = the height of the prism's triangular base