A cuboctahedron composed by eight equilateral triangles and six squares.

Polyhedron with fourteen faces: eight equilateral triangles and six squares. It has twenty four edges and twelve vertices. It is a Archimedean solid as it is a convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.

The surface area of a cuboctahedron with edge length aa is given by the formula:

Surface area=(6+23)a2\text{Surface area}=\left( 6+2 \sqrt{3}\right) a^2

The volume of a cuboctahedron with edge length aa is given by the formula:

Volume=532a3\text{Volume}=\frac{5}{3} \sqrt{2} a^3

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