एक घन का कुल पृष्ठीय क्षेत्रफल 1536 वर्ग मीटर है। इसका आयतन ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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  1. 216 घन मीटर
  2. 125 घन मीटर
  3. 4096 घन मीटर
  4. 729 घन मीटर

Answer (Detailed Solution Below)

Option 3 : 4096 घन मीटर
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दिया गया है:

एक घन का कुल पृष्ठीय क्षेत्रफल 1536 वर्ग मीटर है।

प्रयुक्त अवधारणा:

1. घन का आयतन = भुजा3

2. एक घन का कुल पृष्ठीय क्षेत्रफल = 6 (भुजा)2

गणना:

माना घन की प्रत्येक भुजा की माप A मीटर है।

प्रश्नानुसार,

6A2 = 1536

⇒ A2 = 256

⇒ A = 16

घन का आयतन = 163 = 4096 घन मीटर

∴ घन का आयतन 4096 घन मीटर है।

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