Question

22. Solve:
a) Can a polyhedron have 8 faces, 8 vertices and 14 edges? Why or why not?
b) Draw a triangular pyramid and also write its number of faces vertices and edges.
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Answer 1

Answer:

a) we can prove the following question with Euler's formula:

$v - e + f = 2$

thus 8-14+8=2

-6+8= 2

2= 2

LHS = RHS

THUS THERE CAN BE A POLYHEDRON...

b)

the figure is above......

V= 4

E=6

F= 4

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