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

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

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Estimating and Costing
In the mid-section formula

The volume of the earth work is calculated by multiplying the mid-section area by the distance between the two original sections
The area of mid-sections is calculated by using mean depth
The mean depth is the average of depths of two consecutive sections
All of these

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