High School

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A storage unit is in the shape of a right rectangular prism with a length of 15 feet, a width of 5.5 feet, and a height of 7 feet. The unit is completely filled with matter that weighs, on average, 0.82 pounds per cubic foot. What is the weight, in pounds, of the contents in the container?

A. 103 lbs
B. 473.55 lbs
C. 1632 lbs
D. 704.27 lbs

Answer :

Final answer:

To calculate the weight of the contents in the storage unit, you multiply the volume of the unit by the average density of the matter inside. The total weight of the contents is 473.55 pounds.

Explanation:

The student's question involves calculating the weight of the contents in a storage unit, where the storage unit is a right rectangular prism with given dimensions, and the matter inside it has a specified average density. We will calculate the volume of the prism first and then use the density to find the weight of the contents.

Step-by-Step Calculation:

  1. Calculate the volume of the storage unit by multiplying the length, width, and height. Volume = 15 feet × 5.5 feet × 7 feet.
  2. Convert the volume into cubic feet. Volume = 577.5 cubic feet.
  3. Use the average density to calculate the weight. Weight = Volume × Density. Weight = 577.5 cubic feet × 0.82 pound/cubic foot.
  4. Calculate the total weight. Total weight = 473.55 pounds.

Therefore, the total weight of the contents in the storage unit is 473.55 pounds.

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Rewritten by : Barada