SOLUTION: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic      Log On

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Question 320910: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
Not sure how to solve problem
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of the dirt that needs to be hauled away.
Then find the number of truckloads to haul the dirt.
Multiply the number of truckloads by cost per truckload to get the total cost.
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Volume
V=42%2A24%2A9=9072 cubic feet
Convert from cubic feet to cubic yards.
1 yd = 3 ft
1%5E3 yd^3=3%5E3 ft^3
1 yd^3=9 ft^3
V=9072%2F9=1008 yd^3
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Each truck holds 8 yd^3.
So the number of trucks equals total volume divided by truck volume.
N=1008%2F8=126
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Each truck cost $5.
Total=5%28126%29=630
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To remove the dirt, the contractor needs to pay $630.