SOLUTION: Topsoil is spread evenly over the entire surface of a rectangular lot that is 216 feet long and 187 feet wide. If 325 cubic yards of topsoil is spread over the lot, find the averag

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Question 1197321: Topsoil is spread evenly over the entire surface of a rectangular lot that is 216 feet long and 187 feet wide. If 325 cubic yards of topsoil is spread over the lot, find the average thickness in inches of the topsoil. Round the answer to the nearest tenth inch
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a rectangular lot that is L=216ft long and W=187ft wide, has the area of
A=LW
A=216ft%2A187ft
A=40392ft%5E2+................convert to yards; Formula: divide the area value by 9

A=4488yd%5E2
If 325yd%5E3 of topsoil is spread over the lot, means the volume of the prism base is rectangle, and if thickness is h, then the volume is:
+A%2Ah=V
+4488yd%5E2%2Ah=325yd%5E3
+4488+yd%5E2+%2Ah=325yd%5E3
+h=325yd%5E3%2F4488+yd%5E2+
+h=0.07242yd .........convert to inches
+h=2.6in=> answer