Solution: We know that Volume of prism = Area of base ✕ Height Calculate the volume of a prism with a height of 7 cm and an area of the base of 60 cm². Volume = Area of base ✕ Height Solved ExamplesĮxample 1. The formula to calculate the volume of a prism is as follows: The volume of a prism can be denoted in cubic units. To arrive at the volume of a prism, we will need to estimate the area of the cross-sections and then multiply them with the depth of the prism. The available space within a prism depicts the volume of a prism. The surface area of a prism is the total area on all of its bases and faces. Surface Area = (2 ✕ Base Area) + (Base perimeter ✕ Height) Surface Area of a Prismįor any prism, the surface area of the same can be calculated using the following formula:

The side faces of such a prism are parallelograms. An oblique prism, on the other hand, will appear to be somewhat tilted with two bases that are not aligned. Right Prism and Oblique PrismĪ right prism will have two flat ends and they are perfectly aligned with every side face. A regular prism is a base with a regular polygon, whereas a prism whose base is an irregular polygon is called an irregular prism. The shape of the base of a prism is used to segregate them into regular and irregular polygons. A rectangular prism is also known as a cuboid.ĭid you know that an ordinary triangular prism can separate white light into several constituent colors that constitute the spectrum? Regular and Irregular Prisms Rectangular prism: A prism that has bases in the shape of a rectangle.Pentagonal prism: The base of the prism is shaped like a pentagon.You may have seen a square prism with a different name, it is also called a cube. Square prism: A prism that has a base in the shape of a square.Hexagonal prism: It is a prism with a base in the shape of a hexagon.Triangular prism: The base of the prism is triangular in shape.Based on the shape of the base, prisms can be categorized into the following: The cross section of a prism is the shape obtained when a plane intersects a prism along its axis. Vertex: The corners of a prism where any two edges meet are called vertices.įace: It is a closed, flat surface surrounded by vertices and edges. Elements of a PrismĪ prism can be labeled with its features, which helps characterize them.Įdge: A straight line that connects any two adjacent vertices of a prism is called its edge. It has a rectangular base and is called a rectangular prism.

One of the most common examples of a prism is a cuboid. This means that the lateral faces can either be parallelograms, rectangles, or even squares since all of them have their opposite sides parallel to each other. All the lateral faces are also identical to each other and belong to the class of parallelograms.

The faces other than the top and bottom of a prism are called its lateral faces. For example, if a prism has a triangular base it is called a triangular prism. A prism is named after the shape of these bases. The top and bottom faces are identical and are called bases. A prism is a solid shape that is bound on all its sides by plane faces.

Volume of a triangular prism