MathsOctahedron – Meaning, Properties, Solved Examples and FAQs

Octahedron – Meaning, Properties, Solved Examples and FAQs

Octahedron Meaning

An octahedron is a three-dimensional shape with eight faces. It is made up of eight equilateral triangles.

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    Properties of Octahedron

    The octahedron is a six-sided figure with eight vertices. Each side is an equilateral triangle, and the angles between any two adjacent sides are 108 degrees. The octahedron is a platonic solid, and its dual is the cube.

    Capped Octahedron

    A capped octahedron is a polyhedron with eight triangular faces and six square faces. The triangular and square faces are all congruent, and the caps are all identical. The octahedron is one of the Platonic solids, and it is also known as a truncated tetrahedron.

    How to Find the Area of a Regular Octahedron?

    To find the area of a regular octahedron, divide the octahedron into eight equilateral triangles. The area of each triangle is then equal to one-half the base multiplied by the height. Add the areas of all eight triangles to find the total area of the octahedron.

    Elongated Octahedron

    The elongated octahedron is a polyhedron with 8 faces (octahedrons), 18 edges, and 12 vertices. It can be seen as a stretched out octahedron.

    On Octahedron

    The octahedron is a Platonic solid consisting of eight triangular faces, six of which are equilateral, and four of which are acute.

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