How many faces and edges does a triangular prism have ?
Answer
632.4k+ views
Hint: A triangular prism is a three sided prism, it is a polyhedron made of a triangular base.
Face is the two dimensional plane used in the prism and edge is the line segment at which the two planes of the three dimensional figure meet.
Using the above definition we will make out the number of edges and faces of the prism.
Complete step-by-step solution:
Let's discuss more about triangular prisms and we will draw pictures of triangular prisms to actually visualize the figure for better understanding.
Triangular Prism is a three sided prism, which is a polyhedron with triangular base. It has two triangles and three rectangles are parallelograms. Volume of the prism is calculated as the multiplication of the length, height and breadth of the prism divided by 1/2 as the base of the prism is a triangle.
$V = \dfrac{1}{2}bhl$ (V is the volume, is the breadth, h is the height, l is the length)
By looking at the figure drawn by us, we can conclude that the Triangular prism has five faces and has nine edges, faces include two triangles and three parallelograms. Edges we can count as simply the number of lines required to draw the triangular prism, which are nine in numbers.
There are a total of 5 faces and 9 edges.
Note: Triangular prism is mostly used in telescopes, periscopes and microscopes, scientists also use the triangular prism in studying the reaction of light with human eye, as prism is used to treat many human diseases which help redirect the light entering the eye to enhance the vision of the patient, also used in various vision correcting lenses.
Face is the two dimensional plane used in the prism and edge is the line segment at which the two planes of the three dimensional figure meet.
Using the above definition we will make out the number of edges and faces of the prism.
Complete step-by-step solution:
Let's discuss more about triangular prisms and we will draw pictures of triangular prisms to actually visualize the figure for better understanding.
Triangular Prism is a three sided prism, which is a polyhedron with triangular base. It has two triangles and three rectangles are parallelograms. Volume of the prism is calculated as the multiplication of the length, height and breadth of the prism divided by 1/2 as the base of the prism is a triangle.
$V = \dfrac{1}{2}bhl$ (V is the volume, is the breadth, h is the height, l is the length)
By looking at the figure drawn by us, we can conclude that the Triangular prism has five faces and has nine edges, faces include two triangles and three parallelograms. Edges we can count as simply the number of lines required to draw the triangular prism, which are nine in numbers.
There are a total of 5 faces and 9 edges.
Note: Triangular prism is mostly used in telescopes, periscopes and microscopes, scientists also use the triangular prism in studying the reaction of light with human eye, as prism is used to treat many human diseases which help redirect the light entering the eye to enhance the vision of the patient, also used in various vision correcting lenses.
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