Question
Download Solution PDFWhat is the volume of a 6 m deep tank having rectangular shaped top 6 m x 4 m and bottom 4 m x 2m (computed through the use of prismoidal formula)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Calculation:
Given: L = 6m
Top area = 6 × 4 = 24 m2 = A1
Bottom area = 4 × 2 = 8 m2 = A2
\({{\rm{A}}_{\rm{m}}} = \left( {\frac{{6 + 4}}{2}} \right) \times \left( {\frac{{4 + 2}}{2}} \right) = 15{\rm{\;}}{{\rm{m}}^2}\)
\({\rm{Volume\;}} = \frac{{\rm{L}}}{6}\left( {{{\rm{A}}_1} + 4{{\rm{A}}_{\rm{m}}} + {{\rm{A}}_2}} \right)\)
\({\rm{Volume}} = \frac{6}{6}\left( {24 + 4 \times 15 + 8} \right) = 92{\rm{\;}}{{\rm{m}}^3}\)
Last updated on Mar 27, 2025
-> RRB JE Civil Engineering Exam Dates have been announced on the official website. The CBT 2 Examination is scheduled for 22nd April 2025.
-> The CBT 1 examination was held on 16th, 17th, and 18th December 2024.
-> A total of 7911 vacancies have been announced for the role of Junior Engineer.
-> So this is a great job opportunity for candidates with a Diploma/Engineering background to work for an organization like Indian Railways.
-> The RRB JE exam consists of a two-stage selection process. The first stage will be the Computer Based Test 1 and those who will clear this test will appear for Computer Based Test 2.
-> The candidates can have a look at the RRB JE selection process to be familiar with the exam pattern.