Question
Download Solution PDFएक धात्विक घनाभ की विमाएँ 50 cm × 40 cm × 32 cm हैं। इस घनाभ को पिघलाकर एक घन में बदल दिया जाता है। घन का संपूर्ण पृष्ठीय क्षेत्रफल ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
धात्विक घनाभ की विमाएँ = 50 सेमी × 40 सेमी × 32 सेमी
धात्विक घनाभ को पिघलाकर एक घन में बदल दिया जाता है।
प्रयुक्त सूत्र:
घनाभ का आयतन = l × b × h
'a' भुजा वाले घन का आयतन = a3
घन का कुल पृष्ठीय क्षेत्रफल = 6a2
गणना:
घनाभ का आयतन = घन का आयतन
50 सेमी × 40 सेमी × 32 सेमी = a3
⇒ 2 × 52 × 5 × 23 × 25 = a3
⇒ 64000 = a3
⇒ a = ∛64000 सेमी3
⇒ a = 40 सेमी
∴ घन का कुल पृष्ठीय क्षेत्रफल = 6 × 40 × 40
⇒ 9600 सेमी2
Last updated on Jul 5, 2025
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