घनाच्या कर्णाच्या जागेचे माप 8√3 सेमी आहे. घनाचे घनफळ किती आहे?

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NTPC CBT-I (Held On: 7 Jan 2021 Shift 2)
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  1. 512 सेमी3
  2. 512√3 सेमी3
  3. 1536√3 सेमी3
  4. 1536 सेमी3

Answer (Detailed Solution Below)

Option 1 : 512 सेमी3
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
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Detailed Solution

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दिलेल्याप्रमाणे:

घनाचा अवकाश कर्ण = 8√3 सेमी

वापरलेले सूत्र:

घनाचा कर्ण = √3a

घनाचे घनफळ = a3

गणना:

प्रश्नानुसार

⇒ √3a = 8√3 सेमी

⇒ a = 8 सेमी

आता,

घनाचे घनफळ = (8)3

⇒ 8 × 8 × 8 = 512 सेमी3

∴ घनाचे घनफळ 512 सेमी3 आहे

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