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 Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.