Uhh, how isn't it possible? The pieces just don't fit properly in that arrangement. No surface area has disappeared, it's just in a different configuration. That's like wondering how it's "possible" that you have holes if you put a puzzle together incorrectly.
e : wait wtf
e2 : no, I was right the first time. The tris have different slopes, therefore all surface area is still accounted for.
picz;
p obvious now actually
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