Question
Download Solution PDF5 सेमी, 4 सेमी आणि 3 सेमी बाजूचे तीन घन वितळवून नवीन घन तयार केला जातो. नवीन घनाच्या कर्णाची लांबी शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेली माहिती:
घनाची बाजू 1 = 5 सेमी
घनाची बाजू = 4 सेमी
घनाची बाजू 3 = 3 सेमी
संकल्पना:
घनाचा आकार = बाजू³;
घनाचा कर्ण = √3 × बाजू
उत्तर:
⇒ नवीन घनाचा आकार = पहिल्या घनाचा आकार 1 + दुसऱ्या घनाचा आकार + तिसऱ्या घनाचा आकार
⇒ नवीन घनाचा आकार = 53 + 43 + 33
⇒ नवीन घनाचा आकार = 125 + 64 + 27
⇒ नवीन घनाचा आकार = 216 सेमी³
⇒ नवीन घनाची बाजू = ∛नवीन घनाचा आकार
⇒ नवीन घनाची बाजू = ∛216
⇒ नवीन घनाची बाजू = 6 सेमी
⇒ कर्णरेषा = √3 × बाजू
⇒ कर्णरेषा = सेमी
म्हणून, नवीन घनाच्या कर्णाची लांबी सेमी आहे.
Last updated on Jun 26, 2025
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