Question

8) To fill a hole in a vacant lot that is 10ft long. 12ft wide & 10ft deep, the community council hired a trucking company that could carry 40 cubic ft of dirt per truckload. How many truckloads will it take to fill the hole?

Answer 1

The formula for the volume(V) of the vacant lot is,

`V=\text{length}* width* height`

Given data

`\begin{gathered} \text{length}=10ft \\ \text{width}=12ft \\ \text{height}=10ft \end{gathered}`

Therefore,

`V=10*12*10=1200ft^3`

Given that

`\begin{gathered} 40ft^3=1\text{ }truck\text{ load} \\ \therefore1200ft^3=x \end{gathered}`

Solving for x

`\begin{gathered} x*40ft^3=1200ft^3*1truck\text{ load} \\ (x*40ft^3)/(40ft^3)=\frac{1200ft^3*1truck\text{ load}}{40ft^3} \\ x=30\text{ truck loads} \end{gathered}`

Therefore, it will take 30 truckloads to fill the hole.