Which of the following cannot be true for a polyhedron? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
V = 4, F = 6 and E = 6
B
V = 20, F = 12 and E = 30
C
V = 16, F = 18 and E = 32
D
V = 4, F = 4 and E = 6

Solution:

We know Euler’s formula for Polyhedron is
F + V = E + 2
Where F is the number of faces, V denotes the number of vertices, and E denotes the number of edges.
Let us check for each given option.
Check for option (1) V = 4, F = 6 and E = 6.
F + V - E
= 6 + 4 - 6
= 4 ≠ 2
So, this option is correct.
The correct option is (1).

Solution:

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