एक बॉक्स चतुष्फलक के रूप में है जिसकी भुजा 2√2m है। बॉक्स का आयतन क्या होगा? 

  1. 4/3 m3 
  2. 7/3 m3 
  3. 6/3 m3 
  4. 8/3 m3 

Answer (Detailed Solution Below)

Option 4 : 8/3 m3 
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Detailed Solution

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दिया गया है:

चतुष्फलक के रूप में एक बॉक्स जिसकी भुजा 2√2m है। 

अवधारणा:

एक चतुष्फलक एक पिरामिड होता है जिसका आधार समबाहु त्रिभुज होता है और सभी फलक समबाहु त्रिभुज के रूप होते है।

प्रयुक्त सूत्र:

चतुष्फलक का आयतन = (भुजा)3 / 6√2

गणना:

F2   Shubhanshi 14-01-22 Savita D1

चतुष्फलक का आयतन = (भुजा)3 / 6√2 =  (2 √2)3 / 6√2 

= 8 × 2√2 × 1 / 6√2

= 8/3 m3  

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