The Chamfered Box

Geometry Level 5

Let there be a solid characterized by the equation (xa)2.5+(yb)2.5+(zc)2.5<1.{ \left( \frac { x }{ a } \right) }^{ 2.5 }+{ \left( \frac { y }{ b } \right) }^{ 2.5 } + { \left( \frac { z }{ c } \right) }^{ 2.5 }<1.

Calculate the volume of this solid if a=b=2a = b =2 and c=3c = 3.

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