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  2. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    A triangular prism has 6 vertices, 9 edges, and 5 faces. Every prism has 2 congruent faces known as its bases, and the bases of a triangular prism are triangles.The triangle has 3 vertices, each of which pairs with another triangle's vertex, making up another 3 edges.

  3. Prism (geometry) - Wikipedia

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

    The volume of a prism is the product of the area of the base by the height, i.e. the distance between the two base faces ... Example truncated triangular prism.

  4. 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] +.

  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. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    The volume ratio is maintained when the ... One may initially establish it in a single case by partitioning the interior of a triangular prism into three pyramidal ...

  7. Triangular bipyramid - Wikipedia

    en.wikipedia.org/wiki/Triangular_bipyramid

    A triangular bipyramid is the dual polyhedron of a triangular prism, and vice versa. [ 17 ] [ 3 ] A triangular prism has five faces, nine edges, and six vertices, with the same symmetry as a triangular bipyramid.

  8. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The volume of a tetrahedron can be obtained in many ways. It can be given by using the formula of the pyramid's volume: =. where is the base' area and is the height from the base to the apex. This applies for each of the four choices of the base, so the distances from the apices to the opposite faces are inversely proportional to the areas of ...

  9. List of Johnson solids - Wikipedia

    en.wikipedia.org/wiki/List_of_Johnson_solids

    A volume is a measurement of a region in three-dimensional space. [13] The volume of a polyhedron may be ascertained in different ways: either through its base and height (like for pyramids and prisms), by slicing it off into pieces and summing their individual volumes, or by finding the root of a polynomial representing the polyhedron. [14]