Given:
length (l) = 30 feet
width (w) = 8 feet
height (h) = 7feet 9 in
Required: The number of cubic feet of shipped goods the container would hold when it is the quarter full
The first step is to find the volume of the container using the formula of the volume of a right rectangular prism
[tex]Volume\text{ = whl}[/tex]Substituting the given side lengths:
[tex]\begin{gathered} Volume\text{ = 30 }\times\text{ 8}\times\text{ \lparen7 + }\frac{9}{12})\text{ ft}^3 \\ =\text{ 1860 ft}^3 \end{gathered}[/tex]Taking one-quarter of this volume:
[tex]\begin{gathered} =\text{ }\frac{1}{4}\text{ }\times\text{ 1860 } \\ =\text{ 465 ft}^3 \end{gathered}[/tex]Hence, the container would be 465 cubic feet full
