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Question

According to Euler’s formula for any solid, the number of Faces (F) and vertices (V) added together is exactly two more than the number of edges (E).


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Solution

According to Euler's formula:

F+V=2+E

or

F+V-E=2

So, for a cube,

number of faces =6

number of vertices =8

number of edges =12

Therefore, 6+8-12=14-12=2

Hence, verified.


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