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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 9.5 ft by 5.5 ft by 9 ft. The container is entirely full. If, on average, its contents weigh 0.99 pounds per cubic foot, and, on average, the contents are worth $4.37 per pound, find the value of the container’s contents. Round your answer to the nearest cent.

Respuesta :

step 1

Find out the volume of the rectangular container

[tex]V=L\cdot W\cdot H[/tex]

Substitute given values

[tex]\begin{gathered} V=9.5\cdot5.5\cdot9 \\ V=470.25\text{ ft3} \end{gathered}[/tex]

step 2

Find out the weight of the container

Multiply the volume by the density of 0.99 pounds per cubic foot

0.99*470.25=465.5475 pounds

step 3

Multiply the weight by the factor of $4.37 per pound

so

4.37*465.5475=$2,034.44

therefore

The answer is $2,034.44

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