# Prism – Definition with Examples

» Prism – Definition with Examples

## What is Prism

• A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”.
• The bases can be a triangle, square, rectangle or any other polygon.
• Other faces of a prism are parallelograms or rectangles.

## Cross Section of Prisms

The cross section of a geometric shape or an object is the shape obtained by cutting it straight. It is also referred to as the intersection of a plane with the three-dimensional object. The cross section of a prism parallel to the base of the prism is same as its base.

• Triangular Prism
• Cube

## Regular and Irregular Prism

The base of a prism can be a regular or irregular polygon. Based on the shape of the base, prisms are regular or irregular prisms.

• Regular Prism
• Irregular Prism

## Surface Area and Volume of a Prism

The surface area of a prism is the sum of the area of all its faces.

Volume of a prism is the amount of space inside the prism.

Let us see how to find the surface area and volume of a triangular prism.

• Surface Area

Surface Area = Area of base triangles + Area of side parallelograms

= 2 × ( 1 2  x b x h) + 2 × (l x s) + (l x b)

= bh + 2ls + lb

• Volume

Volume = Area of base triangle × length

= ( 1 2 b x h) × l

= 1 2 bhl

Example: Calculate the surface area and volume of the following prism.

Length (l) = 12 cm, Height (h) = 4 cm, Base (b) = 6 cm, Side (s) = 5 cm

## Right Prism and Oblique Prism

When the two bases of a prism are perfectly aligned and its faces are rectangles (perpendicular to the bases) it is a right prism, else it is an oblique. They are characterized as follows:

• Right Prism
• Oblique Prism Shapes

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