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,

$V=\text{length}\times width\times height$

Given data

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

Therefore,

$V=10\times12\times10=1200ft^3$

Given that

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

Solving for x

$\begin{gathered} x\times40ft^3=1200ft^3\times1truck\text{ load} \\ \frac{x\times40ft^3}{40ft^3}=\frac{1200ft^3\times1truck\text{ load}}{40ft^3} \\ x=30\text{ truck loads} \end{gathered}$

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