8
8 lateral faces and a base
The 3D shape you are describing is a pentagonal pyramid. It has a pentagonal base with five sides, and five vertices where the triangular faces meet. The three rectangle faces are lateral faces that connect the triangular base to the apex of the pyramid. The pentagonal pyramid is a type of pyramid with a polygonal base and triangular faces.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
One side will be a square. It is the base. The lateral sides are triangles.
The given description fits that of a triangular based pyramid which has 4 faces, 6 edges and 4 vertices
A pyramid will have as many triangular faces as the number of sides its base has, plus one in the shape of its base. This means an octagon based pyramid has nine faces (eight triangular ones plus the octagon base).
An octagonal pyramid has 9 faces and 14 edges. The base of the pyramid is an octagon with 8 faces, and the pyramid itself has an additional triangular face. The edges consist of the edges of the octagon base and the edges connecting the base to the apex of the pyramid.
8 lateral faces and a base
8 lateral faces and a base
Lateral faces are the number of faces excluding the base. Since the square is the base, the other 4 sides will each be touching a lateral face to form a square pyramid (or it wont be a pyramid). So, there are 4.
a pyramid
A pyramid.
pyramid
Lateral Face - In a prism, the faces that are not bases. In a pyramid, faces that intersect at the vertex.
9. 8 lateral faces and a base.
The lateral face for a prism or pyramid is any edge or face which is not part of a base.
A pyramid