A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 12.5 ft by 13.5 ft by 13 ft. The container is entirely full. If, on average, its contents weigh 0.18 pounds per cubic foot, and, on average, the contents are worth $7.18 per pound, find the value of the container’s contents. Round your answer to the nearest cent.

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DaniloN190593 DaniloN190593 · Answer 1 · 2022-10-25T12:00:29+02:00

The volume of a right rectangular prism is given by

[tex]V=\text{height}\times length\times width[/tex]

From the given information, we know that

[tex]\begin{gathered} \text{ height=13.5 ft} \\ \text{ length=13 ft} \\ \text{width = 12.5 ft} \end{gathered}[/tex]

So, the volume is given by

[tex]V=13.5\times13\times12.5ft^3[/tex]

which gives

[tex]V=2193.75ft^3[/tex]

Now, since the content weigh 0.18 pound per cubic foot and worth $7.18 per pound, the value of the container is given by,

[tex]\text{ Value=}2193.75\times0.18\times7.18[/tex]

Therefore, by rounding to the nearest cent, the answer is:

[tex]\text{Value}=\text{ \$2835.20}[/tex]