Question
Download Solution PDFThe base of a right pyramid is a square and the length of the side of square is 32 cm and height of the pyramid is 12 cm, then what is the total surface area of the square pyramid?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Base of a right pyramid is a square and the length of the side of square is 32 cm
Height of the pyramid is 12 cm
Formula used:
Total surface area = Lateral surface area + Area of the base
Lateral surface area = 1/2 × Perimeter of base × slant height
Calculation:
In ΔOAB
The slant height, l
⇒ l2 = h2 + AB2
⇒ l2 = (12)2 + (16)2
⇒ l2 = 400
⇒ l = 20 cm
Now, Total surface area = Lateral surface area + Area of the base
⇒ 1/2 × Perimeter of base × slant height + Area of the base
⇒ 1/2 × (4 × 32) × 20 + (32)2
⇒ 1280 + 1024
⇒ 2304 sq. cm
Last updated on Jun 25, 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.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.