A Slanted Pentahedron

★ 6/10Cavalieri's Principle solid geometry

Problem

A pentahedron $ABC\text{-}DEF$ has $AD \parallel BE \parallel CF$ , with the three lines pairwise at distance $1$ , and $AD = 1$ , $BE = 2$ , $CF = 3$ . Find the volume of the pentahedron.

Answer

Solution

Difficulty	6/10
Topics	Cavalieri's Principle, solid geometry

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