A solid has 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?
A.
18 edges
B.
20 edges
C.
22 edges
D.
30 edges

Question

A solid has 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?
A.
18 edges
B.
20 edges
C.
22 edges
D.
30 edges

anonymous · Answer

C

100% sure

anonymous · Answer

@Hap it'sC
forsure

anonymous · Answer

Thank you :D

anonymous · Answer

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tkhunny · Answer

Ummm...  I'm seeing only 20 and it appears Euler agrees with me.

Vertices + Faces = 2 + Edges

"The solid has 11 vertices"

11 + Faces = 2 + Edges

"1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares"

11 + 11 = 2 + Edges

Edges = 20

anonymous · Answer

@tkhunny Thanks for explanation. Can we visualize it? algebraic calculation is great, though. :)