Estimating and Costing
The correct Prismoidal formula for volume is

D [first area + last area + Ʃ Even area + 2 Ʃ odd areas]
D/6 [first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
D/3 [first area + last area + 4 Ʃ Even area + 2 Ʃ odd areas]
D/3 [first area + last area + 2 Ʃ Even area + 4 Ʃ odd areas]

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Estimating and Costing
The assumption on which the trapezoidal formula for volumes is based, is

All listed here
The mid-area of a pyramid is half the average area of the ends
The volume of the Prismoidal is over-estimated and hence a Prismoidal correction is applied
The end sections are parallel planes

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