Question
Download Solution PDFThe base of a right prism is a regular hexagon of a side 5 cm. If its height is 12√3 cm, then its volume (in cm3) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :-
The base of a right prism is a regular hexagon of side 5 cm
height is 12 √3 cm
Concept :-
Prism is a part of cylinder so,
Volume of prism = Base × Height
As base of prism is shan so
Volume of prism with base hexagonal = base area × height
Base area = Area of hexagonal is equal to area of 6 equilateral triangle = 6 × (√3/4) × side2
Calculation :-
⇒ Base area = 6 × (√3/4) × 52
⇒ Base area = 150 × (√3/4)
⇒ Volume = 150 × (√3/4) × 12√3
⇒ Volume = (1800 × 3)/4
⇒ Volume = 1350 cm3
∴ Volume = 1350 cm3
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.