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A dumbwaiter has an area of 9 sqft and a height of 4 ft. If its capacity is 13.9 lb/ft3, what is the total capacity?

  1. 350 lbs

  2. 500 lbs

  3. 600 lbs

  4. 850 lbs

The correct answer is: 500 lbs

To determine the total capacity of the dumbwaiter, you first need to calculate its volume. The volume is found by multiplying the area by the height. In this case, the area is 9 square feet, and the height is 4 feet, so the volume is: Volume = Area x Height = 9 sqft x 4 ft = 36 cubic feet. Next, you can calculate the total capacity by multiplying the volume by the capacity per cubic foot. Given that the capacity is 13.9 lb/ft³, the total capacity can be calculated as follows: Total Capacity = Volume x Capacity per cubic foot = 36 ft³ x 13.9 lb/ft³ = 500.4 lbs. When rounding down, this value corresponds to an effective total capacity of 500 lbs. Thus, the correct answer is 500 lbs. This reasoning confirms that option B is the accurate answer based on the calculations involving the dimensions and density provided.