Civil Engineering - Estimating and Costing - Discussion

Discussion Forum : Estimating and Costing - Section 1 (Q.No. 4)
4.
The correct prismoidal formula for volume is
D [first area + last area + ∑ Even area + 2 ∑ odd areas]
[first area + last area + 4 ∑ Even area + 2 ∑ odd areas]
[first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
[first area + last area + 2 ∑ Even area + 4 ∑ odd areas].
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
31 comments Page 2 of 4.

S.Shahin said:   8 years ago
B is correct.

Because here even means v=L/3{ A.+An+4(A1+A3+.....+An-1)+2(A2+A4+......+An-2)}
Here, A = Coross sectional Area.

Somya said:   8 years ago
B is correct according to Simpson's 1/3rd formula.

PS111 said:   8 years ago
C is correct.

D/3 *[(1ST AREA+LAST AREA) + 4*(ODD)+ 2*(EVEN)].

Suryashekhar Vicky said:   8 years ago
option C is right.

Ref: B.N Dutt book.

Pratik Soni said:   8 years ago
According to B. N. Dutta "C" is correct Answer.

Rangareddy said:   8 years ago
As per my knowledge, option 3 is correct.

AMZ said:   7 years ago
None of the above. The question lacks explanation of D, presumably equal spacing of areas. Prismoidal formula treats areas as vector ordinates and averages the areas.

In the same way the area of a prism=median area (Top+Bottom)/2*height. V = D/2*[V1 + Vn + 2* (V2+V3+..+Vn-2)].

Rishabh Machiwal said:   7 years ago
Both options B and C are right.

If we take A1, A2, A3.......,An-1, An then option B is right.

If we take A0, A1, A2, A3.....An-1, An then option C is right.

Anju said:   7 years ago
B is the right option. I agree.

Lalan said:   7 years ago
Yes, @Rishabh.

In both case C is correct.


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