A rectangular site is to be levelled, and the amount of earth that needs to be removed

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A rectangular site is to be levelled, and the amount of earth that needs to be removed must be determined. A survey of the site at a regular mesh of points 10 m apart is made. The heights in metres above the level required are given in the following table.

0 0.31 0.40 0.45 0.51 0.60 0.12 0.33 0.51 0.58 0.66 0.75 0.19 0.38 0.60 0.69 0.78 0.86 0.25 0.46 0.97 0.68

It is known that the approximate volume of a cell of side x and with corner heights of a, b, c and d is

Write the total approximate volume in matrix form and hence estimate the volume to be removed.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 11, 2024 12:00 AM

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A rectangular site is to be levelled, and the amount of earth that needs to be removed

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Note that for the first row of cells the volume is The second and third rows of cells are dealt with ...View the full answer

Modern Engineering Mathematics

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