12 फलकों पर 30 किनारों वाले बहुफलक में शीर्षों की संख्या क्या है?

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  1. 12
  2. 15
  3. 20
  4. 24

Answer (Detailed Solution Below)

Option 3 : 20
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दिया गया है:

बहुफलक के किनारे  = 30

बहुफलक के फलक = 12

प्रयुक्त सूत्र:

बहुफलक के लिए यूलर का सूत्र

F + V = E + 2      (जहाँ F = बहुफलक के फलक, V = बहुफलक के शीर्ष और E = बहुफलक के किनारे)

गणना:

माना बहुफलक का शीर्ष V है

⇒ 12 + V = 30 + 2

⇒ V = 32 - 12 = 20

∴ अभीष्ट परिणाम 20 होगा। 

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