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To calculate the volume of earthwork from contour plan for filling a depression or pond and for cutting a hillock __________________ may be used conveniently.

(a) elevation method

(b) section area method

(c) prismoidal formula

(d) contour method

I have been asked this question in semester exam.

This question is from Estimate of Earthwork by Three Methods topic in section Road Estimating, Sanitary and Water Supply Work of Civil Engineering Drawing

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The correct option is (c) prismoidal formula

The best explanation: The area with every contour may be found by using a Planimeter or a tracing paper containing squares. Then the prismoidal formula may be applied to calculate the volume, the distance between the two sections will be the contour intervals, i.e., the difference of level between two consecutive contours.

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