What is the total number of edges of an octagonal prism?

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Vedantu Content Team · Accepted Answer

Hint: Here in this question, we have to tell how many edges are there in the octagonal prism shape. Edge is an abstract object or line that connects two points or vertices of a polygon so we have to count or calculate how many connecting lines are there in between the vertices or points of the octagonal prism.Complete step-by-step answer:\n    \n    \n    \n    \n  In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher- dimensional polytope. In a polygon, an edge is a line segment on the boundary, and is often called a side. In a polyhedron or more generally a polytope, an edge is a line segment where two faces meet.Now, consider a given questionWe have to calculate the total number of edges of an octagonal prism shape.In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps. If faces are all regular, it is a semiregular polyhedron.A prism composed of octagonal faces is called octagonal prism.The two faces at either end are octagons and the rest of the faces are rectangular.As we know, octagon is a polynomial with eight sidesAn octagonal prism will have two octagonal faces at top and bottom of the prism i.e., total number of sides or edges is: $$8 \times 2 = 16$$.And all eight corners of one octagon will be connected to eight corners of another octagon by forming 8 edges.So, the total number of edges of an octagonal prism is:$$ \Rightarrow 16 + 8 = 24$$Hence, octagonal prisms having 24 edges.So, the correct answer is “24”.Note: When calculating the edges, first we have to analyze the shape of polygon whether it’s a 3- dimension or dimensional, and next identify or differentiate the face, vertices or points of shape at last count the lines or edges which connected the vertices and corners of the faces.

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