Question
Download Solution PDFA square pyramid with side 10 cm has a volume of 400 cm3. Find the total surface area of the pyramid.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBase area of the pyramid = Area of square = (10)2 = 100 cm2
∵ Volume of pyramid = 1/3 × Base area × Height
⇒ 400 = 1/3 × 100 × Height
⇒ Height of pyramid (h)= 12 cm
Now,
⇒ Slant height of pyramid = √[(height)2 + (side/2)2] = √(144 + 25) = √169 = 13 cm
⇒ Area of a triangular face = 1/2 × side × slant height = 1/2 × 10 × 13 = 65 cm2
∵ A square pyramid has four triangular faces & a square base,
∴ Total surface area of pyramid = 4(65) + 100 = 360 cm2Last updated on Jul 9, 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.
-> Bihar Police Admit Card 2025 Out at csbc.bihar.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.
-> The AP DSC Answer Key 2025 has been released on its official website.
-> The UP ECCE Educator 2025 Notification has been released for 8800 Posts.