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What is the weight of a single cubic foot of an object if it measures 4 ft. x 3 ft. x 3 ft. and weighs 150 lbs per cubic foot?

  1. 600 lbs

  2. 1,800 lbs

  3. 450 lbs

  4. 150 lbs

The correct answer is: 1,800 lbs

To determine the weight of a single cubic foot of the object, we first need to calculate the volume of the object. The dimensions provided are 4 feet, 3 feet, and 3 feet. The volume can be found by multiplying these dimensions together: Volume = length × width × height = 4 ft × 3 ft × 3 ft = 36 cubic feet. Given that the weight of the material is 150 lbs per cubic foot, the total weight of the object can be calculated by multiplying the volume by the weight per cubic foot: Total Weight = Volume × Weight per cubic foot = 36 cubic feet × 150 lbs/cubic foot = 5,400 lbs. Now the correct answer focuses specifically on the weight of a single cubic foot of the object. Since the question states that the object weighs 150 lbs per cubic foot, this directly gives us the weight of one cubic foot without needing additional calculations. Choosing 1,800 lbs reflects the total weight incorrectly, while the other options incorrectly estimate based on a misunderstanding of volume or weight distribution as well. The key takeaway here is recognizing that the weight per cubic foot is inherently stated in the problem, making it straightforward and critical to understanding the material's density and weight