Question

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 5.5 ft by 13 ft by 9 ft.

Answer 1

Solution:

Given the dimension of the rectangular prism as;

$5.5ft\times13ft\times9ft$

Thus, the volume of the container as it is entirely full is;

$\begin{gathered} V=5.5ft\times13ft\times9ft \\ \\ V=643.5ft^3 \end{gathered}$

If on average, each cubic foot weighs 0.55 pounds. Thus, the entire volume weighs;

$\begin{gathered} =643.5ft^3(\frac{0.55lb}{ft^3}) \\ \\ =353.925lb \end{gathered}$

And also one pound is worth $5.96. Thus, the entire content in the container worth;

$\begin{gathered} =353.925lb(\frac{5.96}{lb}) \\ \\ =2109.39 \end{gathered}$

ANSWER: The value of the container's content is $2109.39