Prism
Prism is a threedimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal crosssections. The faces of the prism are parallelograms or rectangles without the bases. And the bases of the prism could be triangle, square, rectangle or any nsided polygon. For example, a pentagonal prism has two pentagonal bases and 5 rectangular faces.
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Prism Shape
A prism has a solid shape consisting of two identical ends (such as triangle, square, rectangle, etc.), flat faces or surfaces and uniform crosssection across its length. The crosssection looks like a triangle hence called triangular prism. The shape of the prism does not have any curve. Therefore, a prism can have square, rectangular, pentagonal and other polygon shapes but not the circular shape.
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Cross Section of Prism
The crosssection is the shape obtained by the intersection of an object by a plane along its axis. It is also said as cutting a threedimensional object with a plane to obtain another shape.
If a prism is intersected by a plane, parallel to the base, then the shape of crosssection will be same as the base. For instance, a square pyramid is cut by a plane, parallel to the base, then the shape of crosssection of pyramid will also be a square.
Types of Prism
Depending upon the crosssections, the prisms are named. It is of two types, namely;
 Regular Prism
 Irregular Prism
Regular Prism
If the bases of the prism are in the shape of a regular polygon, it is called regular prism.
Irregular Prism
If the bases are in the shape of an irregular polygon, then the prism is called an irregular prism.
Prism Based on Shape of Bases
Based on the shape of the bases, it is further categorised into different types, namely;
 Triangular prism (has triangular bases)
 Square prism (has square bases)
 Rectangular prism (has rectangular bases)
 Pentagonal prism (has pentagonal bases)
 Hexagonal prism (has hexagonal bases)
Right Prism And Oblique Prism
Apart from regular and irregular, the prism can be classified into two more types;
 Right Prism
 Oblique Prism
The difference between both the prism for triangular bases are;
Right Prism  Oblique Prism 
If the faces and the joining edges are perpendicular to the base faces, then it is known as right prism  If the faces and the joining edges are not perpendicular to the base faces, then it is known as oblique prism 
In a right prism, the side faces are rectangles  In an oblique prism, the side faces are parallelograms 
Surface area = [Base length x height] + 2[prism length x side length]+[prism length x base length]  Surface area = [Base length x height] + 2[prism length x side length]+[prism length x base length] 
Volume = ½ [base length x height x prism length]  Volume = ½ [base length x height x prism length] 
Formulas (Surface Area & Volume)
The formulas are defined for the surface area and volume of the prism. As the prism is a threedimensional shape, so it has both the properties, i.e., surface area and volume.
Surface Area of a Prism
The surface area of the prism is the total area covered by the faces of the prism.
For any kind of prism, the surface area can be found using the formula;

Volume of a Prism
The volume of the prism is defined as the product of the base area and the prism height.
Therefore,

For example, if you want to find the volume of a square prism, you must know the area of a square, then its volume can be calculated as follows:
The volume of a square Prism = Area of square×height
V = s^{2} × h cubic units
Where “s” is the side of a square.
Solved Problems
Example 1: Find the volume of a triangular prism whose area is 60 cm^{2} and height is 7 cm.
Solution: Given,
Base area = 60 cm^{2}
Height = 7 cm
We know that,
The volume of a prism = (Base area × Height) cubic units
Therefore, V = 60 ×7 = 420
Hence, the volume of a triangular prism = 420 cm^{3}.
Example 2: Find the height of the square prism whose volume is 360 cm^{3} and the base area is 60 cm^{2}.
Solution: Given,
The volume of a square prism = 360 cm^{3}
Base Area = 60 cm^{2}
Therefore, the height of the square prism is calculated as follows:
The volume of square prism = Base area × height
360 = 60 × prism height
Therefore, the height, h = 360/60
Prism Height, h = 6 cm.
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Frequently Asked Questions – FAQs
What is Prism?
What are the examples of Prism?
What is the difference between prism and pyramid?
What is the type of Prism?
A regular prism has regular polygons as their bases, i.e. the triangular prism will have equilateral triangle bases, a square prism will have square bases.
An irregular prism will have irregular polygons as their bases.