घनाच्या पृष्ठठभागाचे क्षेत्रफळ 864 सेमीआहे. घनफळ          आहे.

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 1728 सेमी3
  2. 2197 सेमी3
  3. 1331 सेमी3
  4. 729 सेमी3

Answer (Detailed Solution Below)

Option 1 : 1728 सेमी3
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दिल्याप्रमाणे:

घनाच्या पृष्ठठभागाचे क्षेत्रफळ 864 सेमीआहे.

वापरलेली संकल्पना:

1. घनाच्या पृष्ठठभागाचे क्षेत्रफळ = 6 x (बाजू)2

2. घनफळ = (बाजू)3

गणना:

घनाच्या प्रत्येक बाजूचे माप A सेमी असू द्या.

प्रश्नानुसार

6A2 = 864

⇒ A= 144

⇒A = 12

आता, घनफळ = 12= 1728 सेमी 3

∴ घनफळ 1728 सेमीआहे.

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