Answer: 227 pounds.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated with the following formula:
[tex]V=lwh[/tex]
Where "w" is the width of the rectangular prism, "l" is the length and "h" is the height of the rectangular prism.
In this case you know that:
[tex]l=13.5\ ft\\\\w=4\ ft\\\\h= 7.5 ft[/tex]
Substituting values into the formula, you get that the volume of the shipping container is:
[tex]V=(13.5\ ft)(4\ ft)( 7.5 ft)\\\\V=405\ ft^3[/tex]
You know that it was completely filled with contents that weigh 0.56 pound per cubic foot, approximately. Then, its density is:
[tex]d=0.56\ \frac{lb}{ft^3}[/tex]
Since:
[tex]d=\frac{m}{V}[/tex]
Where "m" is mass and "V" is volume, you can susbstitute values and solve for "m":
[tex]0.56\ \frac{lb}{ft^3}=\frac{m}{405\ ft^3}\\\\(0.56\ \frac{lb}{ft^3})(405\ ft^3)=m\\\\m\approx227\ lb[/tex]
