Question
Download Solution PDFएक धातु के घन की प्रत्येक भुजा की लंबाई 12 cm है। इसे पिघलाकर तीन छोटे घनों में बदल दिया जाता है। इन घनों में से, दो की भुजाएँ क्रमशः 6 cm और 8 cm हैं। तीसरे घन की प्रत्येक भुजा की लंबाई क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक बड़े घन की भुजा = 12 cm
पहले छोटे घन का आकार = 6 cm
दूसरे छोटे घन का आकार = 8 cm
प्रयुक्त संकल्पना:
बड़े घन का आयतन = छोटे घन का कुल आयतन
प्रयुक्त सूत्र:
घन का आयतन = (भुजा)3
गणना:
माना तीसरे घन की भुजा = x
बड़े घन का आयतन = तीन घनों का कुल आयतन
⇒ (12)3 = (6)3 + (8)3 + (x)3
⇒ 1728 = 216 + 512 + x3
⇒ x3 = 1728 - 728
⇒ x = 3√1000 = 10 cm
∴ सही उत्तर 10 cm है।
Last updated on Jul 2, 2025
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