Question
Download Solution PDFएक घन का पृष्ठीय क्षेत्रफल 864 वर्ग सेमी2 है। घन का आयतन ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक घन का पृष्ठीय क्षेत्रफल 864 वर्ग सेमी2 है।
प्रयुक्त अवधारणा:
1. घन का पृष्ठीय क्षेत्रफल = 6 × (भुजा)2
2. घन का आयतन = (भुजा)3
गणना:
माना घन की प्रत्येक भुजा की माप A सेमी है।
प्रश्नानुसार,
6A2 = 864
⇒ A2 = 144
⇒ A = 12
अब, घन का आयतन = 123 = 1728 सेमी3
∴ घन का आयतन 1728 सेमी3 है।
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