Suppose that you work a summer job as a landscaper. One of your clients wants you to dig a ditch in their yard to relieve the flooding that happens after heavy rainfall. Your
boss tells you to make a ditch that is 18 inches deep and 8 feet long. The ditch should
be 12 inches wide at the bottom and 24 inches wide at the top.
(a) Your boss tells you that you need to line the ditch with plastic sheeting Estimate
the minimum amount of plastic you will need to line the ditch. Explain how you
determined your answer.
(b) Estimate the maximum amount of water that the ditch can hold without overflowing.
Explain how you determined your answer.
(c) If you increase the length of the ditch by 1 foot, boy how much does the volume of the
ditch change?
(d) The client decides that they want to line the ditch with a Inch layer of rocks to make
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it look nicer. Estimate how much rock you would need, intubic inches.