Volume of a Polyhedron Given by a Particular Net

From each of three unit squares, an isosceles right triangle with legs of length 1/2 is cut off. These figures together with a regular hexagon form a net of a polyhedron. What is the volume of the polyhedron?

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The polyhedron is one-half of a unit cube, so its volume is 1/2.
Reference
[1] G. Berzsenyi and S. B. Maurer, The Contest Problem Book V, Washington, DC: Mathematical Association of America, 1997 p. 165.
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