Answer:
As a prism it will have the 2d shape twice as the two end caps, each with 220 sides, meaning 440 edges on the ends
A prism with 50 sides will have 144 edges and 96 vertices.
Given to us,
Number of sides = 50 sides,
A prism is a polyhedron with the faces parallelograms, therefore the sides, and two polygonal faces lying in parallel planes, therefore, the base.
For a triangular prism,
Number of sides base have = 3, (for triangle it is 3)
Number of faces = Number of sides base have + 2 = 5,
Number of edges = Number of sides base have x 3 = 9,
Number of vertices = Number of sides base have x 2 = 6,
For a Pentagonal prism,
Number of sides base have = 5, (for pentagon it is 5)
Number of faces = Number of sides base have + 2 = 7,
Number of edges = Number of sides base have x 3 = 15,
Number of vertices = Number of sides base have x 2 = 10,
Similarly,
For a 50 sides prism,
Number of faces = Number of sides base have + 2 = 50,
Number of sides base have = 50 - 2 = 48
Number of edges = Number of sides base have x 3 = 48 x 3 = 144,
Number of vertices = Number of sides base have x 2 = 48 x 2 = 96,
Thus, A prism with 50 sides will have, 48 faces parallelograms and 2 polygonal faces, each having 48 sides.
Therefore, A prism with 50 sides will have 144 edges and 96 vertices.
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