It's ambiguous. I've done graduate work in mathematics. The answer could be 2 faces, 5 vertices, 5 edges (counting vertices where the line clearly changes direction) or 2,2,2 (counting only vertices where three edges meet) or or 5,6,9 (extrapolating the figure to a triangular prism). I expect the teacher wanted either the first or third answer, but I don't know. Who wrote this? And what's the point? Learning names is not mathematics and it's a waste of time. Most scholastic math terms are never used by adults. A few examples: "whole number", "improper fraction", "mixed fraction", "complementary angles", "supplementary angles". And all that stuff in algebra class about conic sections and X and Y intercepts etc. is a complete waste of time.
The interesting thing is that V + F - E = 2.
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Five faces, six vertices, and nine edges. Euler's formula. Vertices + faces - edges = 2
As for the name of the shape, it's a parallelepiped.
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What's the question?
What are you trying to set up a tent?
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