Question: 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

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.

Step by Step Solution

★★★★★

3.49 Rating (139 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

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

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

The information listed below refers to the employees of Lemonica Company for the year ended December 31, 2016. The wages are separated into the quarters in which they were paid to the individual...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

1. What evidence is there that Michelle lacks contentment? 2. Inwhat ways is Michelle exhibiting ambivalence toward her finances? 3. What financial idols does Michelle have in her life? 4. What goals...

Reflect on the HBR article as well as the information about responses from employers, plus what you have observed since these were published. What do you think organizations and managers are doing...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

1 What are the main components of personal financial planning? Solve What is the purpose of a financial plan? Solve Identify some common actions taken to achieve financial goals. How does a job...

Hello, This is the Fina 210 Course about Real estate. Could you help me to solve this problem and show me a solution? because i want to know how to solve this type of question in exam. Thank you! ps:...

According to the PMBOK Guide, "the WBS is a deliverable-oriented hierarchical decomposition of the work to be executed by the project team, to accomplish the project objectives and create the...

Relate the following basic principles of insurance to the case entitled The Insurance Claim of Stolen Power Generator: 1) the principle of indemnity 2) the principle of insurable interest 3) the...

1) a minimum of THREE (3) (challenging) discussion questions. 2) possible answers to the discussion questions. Decision on the Insurance Claim of a Stolen Power Generator On 15 March 2012, Azizan,...

Use simple averages to forecast values for the data in Problem 10.1. Which method gives better results?

Study the functional groups of the amino acids in Table 4-1 and devise a Venn diagram showing amino acids in the following categories: nonpolar, polar, negatively charged, positively charged,...

Which position produces a loss when the price of the underlying asset rises? A long put option on a share of stock. A long call option on an equity index. A long position in an energy futures...

True or False? The Financial Modernization Act was written to require financial institutions to protect the privacy and security of customer information.

Using 1-propanol as your only source of carbon, propose an efficient synthesis for each of the following compounds. (a) (b) (c) .

Using ethanol as your only source of carbon atoms, propose a synthesis for each of the following compounds. (a) (b) OEt .

Propose an efficient synthesis for each of the following transformations: (a) (b) (c) (d) (e) (f) TH.

Martin Company incurred the following costs for 50,000 units: Variable costs $150,000 Fixed costs $240,000 Martin has received a special order from a foreign company for 5,000 units. There is...

6 . 1 In relation to documentation of crime scene analysis which of the following is incorrect?

Request for Proposal is often abbreviated as _ _ _ _ .