Question
Using Euler's formula complete the following table.
[4 MARKS]
FacesVerticesEdges1010?8?1868??5812?19
[4 MARKS]
FacesVerticesEdges1010?8?1868??5812?19
Answer:
:
Formula: 1 Mark
Answers: 3 Marks
Euler's formula: F + V - E = 2
⇒ 1) 10 + 10 - E = 2
E = 20 - 2
E = 18
⇒ 2) 8 + V - 18 = 2
V = 10 + 2
V = 12
⇒ 3) 6 + 8 - E = 2
E = 14 - 2
E = 12
⇒ 4) F + 5 - 8 = 2
F = 2 + 3
F = 5
⇒ 5) 12 + V - 19 = 2
V = 2 + 7
V = 9
Was this answer helpful ?
:
Formula: 1 Mark
Answers: 3 Marks
Euler's formula: F + V - E = 2
⇒ 1) 10 + 10 - E = 2
E = 20 - 2
E = 18
⇒ 2) 8 + V - 18 = 2
V = 10 + 2
V = 12
⇒ 3) 6 + 8 - E = 2
E = 14 - 2
E = 12
⇒ 4) F + 5 - 8 = 2
F = 2 + 3
F = 5
⇒ 5) 12 + V - 19 = 2
V = 2 + 7
V = 9
Was this answer helpful ?
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