The environmental protection agency is attempting to revive 3 acres of contaminated soil

4 answers
Question:

The environmental protection agency is attempting to revive 3 acres of contaminated soil by replacing the top 24 inches of the soil. trucks with a hauling capacity of 28 cubic yards of soil are hired to remove the contaminated soil. how many full truckloads of contaminated soil will be hauled away?

Answers

346 trucks are needed

Step-by-step explanation:

We know that one acre equals 43560 feet ^ 2

In this case the area is 3 acres. So:

[tex]3\ acres * \frac{43,560\ ft^2}{1\ acre} = 130,680\ ft^2[/tex]

We know that 1 foot equals 12 inches. So:

[tex]24\ in * \frac{1\ ft}{12\ in} = 2\ ft[/tex]

So the volume of the contaminated area is:

[tex]V = 2* 130,680\ ft^3\\\\V = 261,360\ ft^3[/tex]

In a cubic yard there are 27 cubic feet. So:

[tex]28\ yard^2 * \frac{27\ ft^3}{1\ yard^3} = 756\ ft^3[/tex]

Finally if we have a volume of [tex]261,360\ ft ^ 3[/tex] and each truck can transport [tex]756\ ft ^ 3[/tex] then the amount of trucks x we need is:

[tex]x = \frac{261,360\ ft ^ 3}{756\ ft ^ 3} = 346\ trucks[/tex]

[tex]346\ trucks[/tex]

Step-by-step explanation:

1 acre equals to 4840 yard²

So

[tex]3\ acres *\frac{4840\ yard^2}{1\ acre}= 14520\ yard^2[/tex]

Also

[tex]1\ in = 0.02778\ yard[/tex]

So

[tex]24\ in *\frac{0.02778\ yard}{1\ in}= 0.667\ yard[/tex]

So volume V of the contaminated area is:

[tex]V = 14520*0.667\ yard^3\\\\V=9680.48\ yard^3[/tex]

If each truck has a capacity of 28 cubic yards then it is necessary

[tex]9680.48\ yard^3 * \frac{1\ truck}{28\ yard^3}=346\ trucks[/tex]

step-by-step explanation:

so then what are you asking?

step-by-step explanation:

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