Other 3-Dimensional Geometry - SAT Subject Test in Math II
Card 0 of 1
Question
A convex polyhedron has twenty faces and thirty-six vertices. How many edges does it have?
A convex polyhedron has twenty faces and thirty-six vertices. How many edges does it have?
Answer
The number of vertices 
, edges 
, and faces 
of any convex polyhedron are related by By Euler's Formula:
Setting 
and solving for 
:
The polyhedron has 54 edges.
The number of vertices
Setting
The polyhedron has 54 edges.
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