1 votes 1 votes A dodecahedron is a regular solid with $12$ faces, each face being a regular pentagon. How many edges are there? And how many vertices? $60$ edges and $20$ vertices $30$ edges and $20$ vertices $60$ edges and $50$ vertices $30$ edges and $50$ vertices Graph Theory cmi2016 graph-theory undirected-graph regular-pentagon + – go_editor asked Dec 30, 2016 • retagged May 21, 2020 by soujanyareddy13 go_editor 569 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes B.) Given f=12, degree of each face = df = 5. By Euler's formula, v-e+f = 2 => v - e + 12 =2 => 10 = e-v Also, $\sum degree(face) = 2*e$ => 5*12 = 2*e or e=30 Solving the equations, e=30 and v=20 agoh answered Dec 30, 2016 • selected Dec 30, 2016 by srestha agoh comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Answer: soujanyareddy13 answered May 6, 2021 soujanyareddy13 comment Share Follow See all 0 reply Please log in or register to add a comment.