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UPSC Civil Service Exam Questions - Engineering

Q1:

What is the volume of a 6 m deep tank having rectangular shaped top 6 m x 4 m and botton 4 m x 2 m (computed through the use of prismoidal formula) ?

A 96 m3

B 94 m3

C 92 m3

D 90 m3

ANS:C - 92 m3

Prismoidal Formula= L/6(A1+A2+4Am),
A1- 6x4 =24m2.
A2- 4x2 =8m2.
Am= mean width - (6+4)/2=5m x mean depth (4+2)/2=3m, So Am = 15m2.
Vol = 6/6(24+8+4*15) = 92 m3.