একই শীর্ষবিন্দু ভাগ করা একটি আয়তঘনকের তিনটি তলের পৃষ্ঠের ক্ষেত্রফল হল 20 মি2 , 32 মি2 এবং 40 মিহলে, আয়তঘনকের আয়তন কত?

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RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)
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  1. 92 মি3
  2. √3024 মি3
  3. 160 মি3
  4. 184 মি3

Answer (Detailed Solution Below)

Option 3 : 160 মি3
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Detailed Solution

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প্রদত্ত:

L × B = 20 বর্গমিটার

B × H = 32 বর্গমিটার

L × H = 40 বর্গমিটার

যেখানে L = দৈর্ঘ্য, B = প্রস্থ,  H = উচ্চতা

প্রযুক্ত সূত্র:

আয়তঘনকের সমগ্র তলের ক্ষেত্রফল =  L × B + B × H + L × H

আয়তঘনকের আয়তন = LBH

সমাধান:

প্রশ্নানুসারে, 

⇒ L × B × B × H × L × H = 20 × 32 × 40

⇒ L2B2H2 = 25600

⇒ LBH = 160

∴ আয়তঘনকের আয়তন হল 160 মি3

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