समान आयतन के तीन घन सिरे से सिरे तक जुड़े हुए हैं। यदि घन का विकर्ण 6√3 सेमी है, तो परिणामी घनाभ का पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
View all SSC CGL Papers >
  1. 509 सेमी2
  2. 504 सेमी2
  3. 516 सेमी2
  4. 512 सेमी2

Answer (Detailed Solution Below)

Option 2 : 504 सेमी2
vigyan-express
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
3.6 Lakh Users
25 Questions 50 Marks 10 Mins

Detailed Solution

Download Solution PDF

दिया गया:

घन का विकर्ण = 6√3 सेमी

गणना:

घन का विकर्ण = √3 × भुजा 

⇒ 6√3 = भुजा √3

अत:, भुजा = 6

इसलिए, घनाभ की लंबाई = 3 × 6 = 18 

चौड़ाई = 6 और ऊँचाई = 6

अतः, घनाभ का पृष्ठीय क्षेत्रफल

= 2(lb + bh + lh)

= 2(108 + 36 + 108)

= 2 × 252 सेमी²

= 504 सेमी²

इसलिए, अभीष्ट मान 504 सेमी² है।

Latest SSC CGL Updates

Last updated on Jul 7, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> 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. 

More Solid Figures Questions

More Mensuration Questions

Get Free Access Now
Hot Links: teen patti master old version teen patti master online teen patti wink teen patti yes