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OleMash [197]
3 years ago
8

A building contractor is to dig a foundation 50 feet long, 20 feet wide and 10 feet deep. The contractor pays $15 per load for t

rucks to remove the dirt. Each truckload holds 5 cubic yards of dirt. What is the cost to have all the dirt hauled away?
Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

$1111.11        

Step-by-step explanation:

We have been given that a building contractor is to dig a foundation 50 feet long, 20 feet wide and 10 feet deep.

Let us find the volume of the dirt dig from the foundation.  

\text{Volume of dirt dig from foundation}=50\text{ feet}*20\text{ feet}*10\text{ feet}    

\text{Volume of dirt dig from foundation}=10000\text{ feet}^{3}    

Since, 1 cubic feet= 0.037037 cubic yards. Let us convert volume of dirt dig into cubic yards by multiplying 10,000 by 0.037037.

\text{Volume of dirt dig from foundation}=10000*0.037037=370.3704  

Now let us find how many truckload will hold 370.3704 cubic yards of dirt by dividing 370.3704 by 5.

\text{Number of truckloads needed}=\frac{370.3704 }{5}

\text{Number of truckloads needed}=74.07408

Now let us multiply number of truckloads by 15 to find the total cost to haul away all the dirt.

\text{Total cost}=74.07408*15

\text{Total cost}=1111.1112

Therefore, the cost to have all the dirt hauled away is $1111.11.

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