Question
Download Solution PDFएका लंब प्रिझमचा पाया एक समभुज त्रिकोण आहे ज्याची बाजू 10 सेमी आहे. जर या प्रिझमची उंची 10\(\sqrt{3}\) सेमी असेल, तर प्रिझमचे एकूण पृष्ठफळ किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
एक लंब प्रिझमचा पाया एक समभुज त्रिकोण आहे ज्याची बाजू 10 सेमी आहे.
या प्रिझमची उंची 10 \(√{3}\) सेमी आहे
वापरलेली संकल्पना:
प्रिझमचा TSA = [2(त्रिकोणी पायाचे क्षेत्रफळ)] + [(आधार परिमिती × उंची)]
समभुज त्रिकोणाचे क्षेत्रफळ = (√3/4)a2
समभुज त्रिकोणाची परिमिती = 3 × बाजू.
गणना:
संकल्पनेनुसार,
⇒ समभुज त्रिकोणाचे क्षेत्रफळ = (√3/4)(10)2 = (100/4)√3 = 25 √3
⇒ पाया परिमिती = 10 × 3 = 30
मग,
TSA = [2(25√3)] + [30 × 10√3]
⇒ TSA = 50√3 + 300√3
⇒ TSA = 350√3
∴ प्रिझमचे एकूण पृष्ठफळ 350√3 आहे.
Last updated on Jul 19, 2025
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