Question
Download Solution PDF36 मीटर लम्बाई, 18 मीटर चौड़ाई और 9 मीटर ऊँचाई वाले एक घनाभ को पिघलाकर एक घन बनाया जाता है। घन के विकर्ण की लम्बाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
36 मीटर लम्बाई, 18 मीटर चौड़ाई और 9 मीटर ऊँचाई वाले एक घनाभ को पिघलाकर एक घन बनाया जाता है।
प्रयुक्त सूत्र:
घनाभ का आयतन = L × H × B
घन का आयतन = a3
यहाँ,
L = लम्बाई
B = चौड़ाई
H = ऊँचाई
a = घन की भुजा
गणना:
मान लीजिए कि निर्मित घन की भुजा a है।
प्रश्न के अनुसार,
घनाभ का आयतन = घन का आयतन
इसलिए,
36 × 18 × 9 = a3
⇒ 5832 = a3
⇒ a3 = 183
⇒ a = 18
इसलिए, घन का विकर्ण 18√3 है।
∴ घन के विकर्ण की लम्बाई 18√3 है।
Last updated on Jul 19, 2025
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