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?​

Answer 1

`346\ trucks`

Explanation:

1 acre equals to 4840 yard²

So

`3\ acres *(4840\ yard^2)/(1\ acre)= 14520\ yard^2`

Also

`1\ in = 0.02778\ yard`

So

`24\ in *(0.02778\ yard)/(1\ in)= 0.667\ yard`

So volume V of the contaminated area is:

`V = 14520*0.667\ yard^3\\\\V=9680.48\ yard^3`

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

`9680.48\ yard^3 * (1\ truck)/(28\ yard^3)=346\ trucks`