किसी घन की सभी भुजाओं का योग 60 सेमी है, तो उस सबसे बड़ी छड़ की लंबाई ज्ञात कीजिये जो घन में आ सकती है।

  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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Detailed Solution

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दिया गया है:

घन के सभी 12 भुजाओं का योग = 60 सेमी

सूत्र:

घन में भुजाओं की संख्या = 12

घन का विकर्ण (निकाय) = √3a

गणना:

माना कि घन की भुजा a सेमी है, तो

12a = 60

⇒ a = 60/12

⇒ a = 5 सेमी

∴ घन में आ सकने वाली सबसे बड़ी छड़ = √3a = 5√3 सेमी

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