একটি ঘনকের স্থানের কর্ণ হল 8√3 সেমি। ঘনকের আয়তন কত?

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  1. 512 সেমি3
  2. 512√3 সেমি3
  3. 1536√3 সেমি 3
  4. 1536 সেমি3

Answer (Detailed Solution Below)

Option 1 : 512 সেমি3
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Detailed Solution

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প্রদত্ত:

একটি ঘনকের স্থানের কর্ণ = 8√3 সেমি

অনুসৃত সূত্র:

ঘনকের কর্ণ = √3a

ঘনকের আয়তন = a3

গণনা:

প্রশ্ন অনুযায়ী

⇒ √3a = 8√3 সেমি

⇒ a = 8 সেমি

এখন,

ঘনকের আয়তন = (8)3

⇒ 8 × 8 × 8 = 512 সেমি3

∴ ঘনকের আয়তন হল 512 সেমি3

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