A square or rectanglular pyramid are the only solid figures that have exactly five faces.
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A pentagon
A face is the flat surface on a solid figure. For example, a triangular prism has five flat surfaces and therefore five faces.
Despite the blind answer of many uneducated users of this site, a pentagon is 2 dimensional with 5 SIDES, thus not a solid figure. A pentahedron, though, is a solid figure of five FACES. PENTAHEDRON
pentiigoal prism has 5 rectangular faces
A pentagonal prism.