Prisms are geometric solids that come in many different shapes and an infinite number of sizes. Prisms are generally classified by their bases. The prisms have square bases, are called square prisms, a hexagonal prisms has a base that is a hexagon and the prisms have triangular bases called as triangular prisms, and so on. Prisms are said to be right or oblique according as the lateral edges are perpendicular or oblique to the bases.

## Prism Definition

A prism is a polyedron, having two of its faces, called bases, equal polygons, whose planes and homologous sides are parallel. The lateral faces of prism are parallelograms and constitute the convex surface of the prism. Altitude of the prism is the perpendicular distance between its bases. Prisms are of different types like triangular, quadrangular, pentangular and so on. Prisms are classified on the bases of their bases.

### Lateral Surface Area of Right Prism

The lateral area L (area of the non-base faces) of any right prism is equal to the perimeter of the base times the height of the prism.

=> L = Ph

### Surface Area of Right Prism

The total area T of any right prism is equal to two times the area of the base plus the lateral area.

=> T = 2B + L

### Volume of right Prism

The volume, V, of any right prism is the product of A, the area of the base, and the height h of the prism.

=> V = Ah

Formulas:

Lateral Surface Area of the Prism (L) = Ph

Where, P is the perimeter of a base and h be the height of the prism.

Surface Area of a Prism = L + 2B

Where, L is the lateral surface area and B is the base area of the prism.

Volume of a Prism = Ah

Where, A is the area of base and h be the height of a prism.

## Oblique Prism

A oblique prism is a prism in which the parallel lateral edges are oblique to the base edges at their points of intersection. A prism whose lateral edges are not perpendicular to its base or we can say that a prism in which the bases are not aligned properly is called an oblique prism. In the below figure we can see that the bases are not exactly one above the other. Also the lateral faces are parallelograms. So, the given figure is an oblique prism.

## Right Prism

### Right Prism Definition

A right prism is a prism in which the lateral edges are perpendicular to the base edges at their points of intersection. Right prisms have two special characteristics that all lateral edges are perpendicular to the bases, and lateral faces are rectangular. Prism that has bases aligned one above the other and has lateral faces that are rectangles.

### Right Angle Prism

Right angle prisms are simply triangular blocks of glass with two 45º and one 90º angles. These prisms are generally used to bend image paths or redirect light at 90º . Right-angle prism is the most common type of prisms. It is used to re-direct a beam of light at 90 degrees from the the incident direction or used as a 180 beam retro-reflector.

### Icosahedron

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