एका घनभाचे घनफळ हे एका घनाच्या दुप्पट आहे. घनभाची परिमाणे (8 मीटर × 8 मीटर × 16 मीटर) असल्यास, घनाचे एकूण पृष्ठफळ किती आहे? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 316 मी2
  2. 288 मी2
  3. 324 मी2
  4. 384 मी2

Answer (Detailed Solution Below)

Option 4 : 384 मी2
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दिलेले आहे :

एका घनभाचे घनफळ एका घनाच्या दुप्पट आहे.

उंची = 16 सेमी

रुंदी = 8 सेमी

लांबी = 8 सेमी

वापरलेले सूत्र:

घनभाचे घनफळ =  लांबी × रुंदी × उंची 

घनाचे घनफळ = (बाजू)3

गणना:

घनभाचे घनफळ = 8 × 8 × 16 

= 1024

घनभाचे घनफळ = 2 × घनाचे घनफळ.

 घनाभ चे घनफळ = 2 × (बाजू)3

(बाजू)3 = 1024/2 = 512 मी

बाजू = 8 मी

घनाचे एकूण पृष्ठफळ = 6 × 64

= 384 मी 

घनाचे एकूण पृष्ठफळ 384 मी 2 आहे.
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