A pyramid. It has a square base (4 corners) and four faces converging to a point (the fifth corner).
You might be referring to a pentagon which has five sides and five corners.
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I AM A SPACE FIGURE WITH 5 FACES, 8 EDGES, AND 4 CORNERS. which SPACE FIGURE AM i?
A square based pyramid
pyramid
pyrmid
5 faces, 5 corners.