# The Chamfered Box

Geometry Level 5

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

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

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