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Identify the INCORRECT statement about prismoidal formula used to compute earthwork.
Question

Identify the INCORRECT statement about prismoidal formula used to compute earthwork.

A.

The ratio of volume calculated by end area formula and the prismoidal formula is called as
the 'Prismoidal correction'.

B.

If there is an even number of cross sections, the end strip must be treated separately, and
volume between the re- maining sections may be calculated by prismoidal formula.

C.

Prismoidal formula is also known as Simpson's rule for volume.

D.

It is necessary to have an odd number of cross-sections to apply prismoidal formula.

Correct option is A


Prismoidal formula (Simpon's rule is used)
 Valid for odd number of offset and number of division is even.

• For irregular boundaries, Simpson's rule is preferred over the trapezoidal rule to calculate the given area.
• In the case of an even number of cross-sections, the end strip is treated separately and
the area of the remaining strip is calculated by Simpson's rule. The area of the last strip may be calculated by trapezoidal formula. Prismoidal correction The difference between the volume computed by the trapezoidal formula and the prismoidal formula is known as a prismoidal correction.
 Since the trapezoidal formula always over estimates the volume. Prismoidal correction is always subtractive in nature.

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