Question

a container built for transatlantic shipping is constructed in the shape of a right rectangular prism. its dimensions are 12 ft by 5 ft by 6 ft. if the container is entirely full and, on average, its contents weigh 0.06 pounds per cubic foot, find the total weight of the contents. round your answer to the nearest pound if necessary.

Explanation:

Step1: Calculate the volume of the container

The volume \( V \) of a right rectangular prism is given by \( V = l\times w\times h \), where \( l = 12\) ft, \( w = 5\) ft, and \( h = 6\) ft.

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The volume of the container is \( 360\) cubic feet.

Step2: Calculate the total weight

The weight per cubic - foot is \( 0.06\) pounds. Let \( W\) be the total weight. Then \( W=\text{Volume}\times\text{Weight per cubic foot}\).

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Answer:

The total weight of the contents is \( 22\) pounds (rounded to the nearest pound).