A solid faces that consist of 1 pentagon 5 congruent equilateral triangles and 5 congruent squares. The solid has 11 vertices. How many edges does this solid have?
hmm
are u given a formula linking face edges and vertices
for 11 vertices there a total of 11 Choose 2 ways of possible orientations of lines
a pentagon has 5 sides triangle has 3, u have5 of those 5*3 and 5*4 a total of 20+15+5 = 40sides
not these sides are shared between each other and all together have only 11 vertices
lets see okay lets tart with the pentagon 5 edges there now lets add 5triangles to to 5 of those edges are all used for the 5 triangles and the upper lines for the triangles are shares between each triangle too so 6 unique extra lines a total of 5 + 5 verticles so far..
|dw:1420831104834:dw|
Join our real-time social learning platform and learn together with your friends!