If an object weighs 150 pounds per cubic foot and measures 5' long, 3' wide, and 2' high, what is its total weight?

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To determine the total weight of the object, you first need to calculate its volume. The volume can be found by multiplying the length, width, and height of the object. In this case, the dimensions given are:

  • Length: 5 feet
  • Width: 3 feet
  • Height: 2 feet

Calculating the volume:

Volume = Length × Width × Height Volume = 5 ft × 3 ft × 2 ft = 30 cubic feet

Next, you know that the weight of the object is given as 150 pounds per cubic foot. To find the total weight, you multiply the volume by the weight per cubic foot:

Total Weight = Volume × Weight per cubic foot Total Weight = 30 cubic feet × 150 pounds/cubic foot = 4,500 pounds

Thus, the total weight of the object is 4,500 pounds, which aligns with the correct answer. This process of calculating volume and then applying the weight per unit volume is crucial in understanding how to determine the overall weight of three-dimensional objects based on their dimensions and density.

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