referencias: 

www.google.com

www.wikipedia.com

http://www.ditutor.com/solid_gometry/types_prisms.html

http://www.vitutor.com/

types of prisms:

Regular Prisms:

The bases of the regular prisms are regular polygons.

Irregular Prisms:

The bases of the irregular prisms are irregular polygons

Right Prisms:

The lateral faces of the right prisms are rectangles or squares

Oblique Prisms:

The lateral faces of the oblique prisms are rhomboids or rhombi.

 

Parallelepipeds:

The bases of parallelepiped prisms are parallelograms.

 

Cuboid:

The faces of cuboids are rectangular faces.

Types of Prisms by Their Base:

 

Triangular prism:

the bases are triangles

Quadrangular Prism:

 The bases are quadrilaterals.

Pentagonal Prism:

the bases are pentagons

Hexagonal Prism:

The bases are hexagons

types of pyramids:

there is also a clasification of piramids :

Regular: 
The base regular pyramid has a regular polygon and its sides equal                                                                                    

 Irregular:

The irregular pyramid base is an irregular polygon.

Convex:

is the pyramid that has a convex poligon in the base it means that the angles of the poligon measure more than 180°

 

Concave:
 is the pyramid that has a concave poligon base it means that some of the angles mesure less than 180°

 

Straight:

 is the pyramid that has a right angle

 

Oblicue:

 is a pyramid that one of its sides is an isoceles triangule

Square:

 the base is an square

 

Trinagular:
the base is a triangle

Pentagonal:
the base is a pentagon

Hexagonal :
the base is an hexagon

formula in pentagonal prism

Area: perimeter times apothem divided by 2
Area 2 bases: Area times 2
Rectangle Area: side times side
lateral area: rectangle area times 5
superficial area: Area 2 bases plus lateral Area
volume: Area base times height.