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A pyramid has one polygonal base and the rest of the faces are triangles. A prism has two congruent polygonal bases and the other faces are rectangles.
No. I has 3 triangle faces and one square face.
There are 12 lateral faces (triangles) and one base so altogether there are 13 faces.
A solid with 8 faces is an octahedron.As all faces are the same it is a regular octahedron.As such it is one of the five platonic solids - the only five 3D objects that can be regular: the tetrahedron (4 equilateral triangles for the faces), the hexahedron (usually called a cube with 6 square faces), the octahedron (as asked, 8 equilateral triangles for the faces), dodecahedron (12 regular pentagons as faces), icosahedron (20 equilateral triangles as faces).
That sounds like a square-based pyramid.