घनाच्या सर्व कडांची बेरीज 60 सेमी आहे, नंतर घनमध्ये बसू शकणार्या सर्वात मोठ्या रॉडची लांबी शोधा.

  1. 6√3 सेमी
  2. 3√3 सेमी
  3. 4√3 सेमी
  4. 5√3 सेमी

Answer (Detailed Solution Below)

Option 4 : 5√3 सेमी
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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दिलेले:

घनाच्या सर्व 12 कडांची बेरीज = 60 सें.मी.

सूत्र:

घनामधील कडा संख्या = 12

घनाचा कर्ण (मुख्य भाग) = √3a

हिशोब:

घनाची बाजू एक सेमी आहे असे समजा, तर 

12a = 60

⇒ a = 60/12

⇒ a = 5 cm

∴घन = √3a = 5√3 सेंमी मध्ये नीट बसू होऊ शकणारा सर्वात मोठा रॉड

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