Question
Verify Euler's relation for the following:
A cube.
A cube.
✓
Answer
Euler's relation is:
F - E + V = 2
A cube:
(There is an error in this question. It should have been a square prism rather than square.)
Number of faces = F = 2 squares + 4 rectangular = 6
Number of edges = E = 12
Number of vertices = V = 8
⇒ (F - E + V) = 6 - 12 + 8 = 2
F - E + V = 2
A cube:
(There is an error in this question. It should have been a square prism rather than square.)
Number of faces = F = 2 squares + 4 rectangular = 6
Number of edges = E = 12
Number of vertices = V = 8
⇒ (F - E + V) = 6 - 12 + 8 = 2
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