यदि 64 सेमीके ठोस घनाभ को 8 बराबर घन में काटा जाता है, तो प्रत्येक घन के किनारे की लंबाई क्या है?

  1. 8 सेमी
  2. 2 सेमी
  3. 2√2 सेमी
  4. 4 सेमी

Answer (Detailed Solution Below)

Option 2 : 2 सेमी
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Detailed Solution

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दिया गया है- 

घनाभ का आयतन = 64 सेमी3

प्रयुक्त सूत्र- 

घनाभ का आयतन = लंबाई × चौड़ाई × ऊँचाई

 घन का आयतन = भुजा3

गणना-

घनाभ का आयतन = 8 घन का आयतन

⇒ 64 = 8 × भुजा

⇒ भुजा3 = 8

⇒ भुजा = 2 सेमी

∴ घन के प्रत्येक किनारे की लंबाई 2 सेमी है।

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