# A geometry problem by Anthony Pham

Geometry Level 4

Observe net $$ABCDEFGHIJ$$.

Figure $$BEGJ$$ is a unit square, with angle $$ABJ=90^\circ$$ and $$BJ=AB=BC$$. Also, $$DE=EF=FG=GH$$ and $$CE=AJ=JI$$, with the ratio of $$GH$$ to $$IJ$$ is $$1:2$$. The net is to form a closed polyhedron no holes or overlaps. If the volume is written as a fraction in lowest terms, find the sum of the numerator and the denominator.

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