olymmath

HMMT 2005 U30

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A cuboctahedron is a polyhedron whose faces are squares and equilateral triangles such that two squares and two triangles alternate around each vertex, as shown.

What is the volume of a cuboctahedron of side length 1 ?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{5 \sqrt{2}}{3}

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