কাঠের একটি ঘনকাকার খন্ডের কর্ণের দৈর্ঘ্য 192 সেমি। এর আয়তন নির্ণয় করো।

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 1)
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  1. 786432√3 সেমি3
  2. 766432√3 সেমি3
  3. 776432√3 সেমি3
  4. 796432√3 সেমি3

Answer (Detailed Solution Below)

Option 1 : 786432√3 সেমি3
Free
SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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প্রদত্ত:

কর্ণ (d) = 192 সেমি

ব্যবহৃত সূত্র:

d = a√3

যেখানে, a = ঘনকের বাহু

আয়তন (V) = a3

গণনা:

192 = a√3

⇒ a =

⇒ আয়তন =

⇒ আয়তন =

⇒ আয়তন =

⇒ আয়তন =

∴ ঘনকাকার খন্ডটির আয়তন সেমি​3

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