A cuboctahedron is defined as which of the following shapes?

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Multiple Choice

A cuboctahedron is defined as which of the following shapes?

Explanation:
A cuboctahedron is identified by its mix of faces: it has both square and triangular faces. Specifically, it is built from eight triangular faces and six square faces, totaling fourteen faces. This shape can be formed by truncating a cube (or an octahedron) at mid-edge, which naturally yields the eight triangles and six squares. The other options do not share this combination: a dodecahedron has pentagonal faces, a tetrahedron has just triangular faces (four of them), and an icosahedron has twenty triangular faces. Therefore, the defining description is a polyhedron with eight triangles and six squares—the cuboctahedron.

A cuboctahedron is identified by its mix of faces: it has both square and triangular faces. Specifically, it is built from eight triangular faces and six square faces, totaling fourteen faces. This shape can be formed by truncating a cube (or an octahedron) at mid-edge, which naturally yields the eight triangles and six squares. The other options do not share this combination: a dodecahedron has pentagonal faces, a tetrahedron has just triangular faces (four of them), and an icosahedron has twenty triangular faces. Therefore, the defining description is a polyhedron with eight triangles and six squares—the cuboctahedron.

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