Prisms

Prisms are polyhedra that have two parallel, equally sized faces called bases and their lateral faces are parallelograms.

Components of a Prism

The height of a prism is the distance between the bases.

The lateral edges of a prism are equally sized parallel edges.

Unfold of a Prism

Unfold of a Prism


Types of Prisms

Regular Prisms

Regular Prisms


The bases of the regular prisms are regular polygons.

Irregular Prisms

Irregular Prisms


The bases of the irregular prisms are irregular polygons.

Right Prisms

Right Prism


The lateral faces of the right prisms are rectangles or squares.

Oblique Prisms

Oblique Prisms


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

Parallelepipeds

Parallelepipeds


The bases of parallelepiped prisms are parallelograms.

Cuboid

Cuboid


The faces of cuboids are rectangular faces.

Types of Prisms by Their Base

Triangular Prism

Triangular Prism


The bases are triangles.

Square Prism

Quadrangular Prism


The bases are squares.

Pentagonal Prism

Pentagonal Prism


The bases are pentagons.

Hexagonal Prism

Hexagonal Prism


The bases are hexagons.


Lateral Area of a Prism

Lateral Area of a Prism Formula

Lateral Area of a Prism Formula

Surface Area of a Prism

Surface Area of a Prism Formula

Volume of a Prism

Volume of a Prism Formula


Examples

Calculate the height of a prism whose base has an area of 12 dm2 and whose capacity is 48 liters.

Prism Exercise

Prism Solution


Calculate the lateral area, surface area and volume of a prism whose base is a rhombus with diagonals of 12 and 18 cm.

Prism Problem

Prism Exercise

Prism Operations

Prism Operations

Prism Solution

Prism Solution