Question
Download Solution PDF36 मीटर लांबीची, 18 मीटर रुंदीची आणि 9 मीटर उंचीची एक इष्टिकाचिती वितळवून त्यापासून एक घन तयार केल्यास, त्या घनाच्या कर्णाची लांबी शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
36 मीटर लांबीची, 18 मीटर रुंदीची आणि 9 मीटर उंचीची एक इष्टिकाचिती वितळवून त्यापासून एक घन तयार केला जातो.
वापरलेली संकल्पना:
इष्टिकाचितीचे घनफळ = L × H × B
घनाचे घनफळ = a3
येथे,
L = लांबी
B = रुंदी
H = ऊंची
a = घनाची बाजू
गणना:
समजा, घनाची तयार होणारी बाजू = a
दिलेल्या प्रश्नानुसार,
इष्टिकाचितीचे घनफळ = घनाचे घनफळ
अशाप्रकारे,
36 × 18 × 9 = a3
⇒ 5832 = a3
⇒ a3 = 183
⇒ a = 18
अशाप्रकारे, घनाचा कर्ण = 18√3 मीटर
∴ घनाच्या कर्णाची लांबी = 18√3 मीटर.
Last updated on Jul 12, 2025
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