What is the total weight of a 500 lb skid pan loaded with 100 pieces of aluminum, where each piece measures 1 ft wide, 2 ft long, and 1/2 inch thick?

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To determine the total weight of the skid pan loaded with aluminum, it is essential to calculate the weight of the aluminum pieces first, and then add that to the weight of the skid pan.

Each piece of aluminum measures 1 foot wide, 2 feet long, and 1/2 inch thick. To calculate the volume of one piece:

  1. Convert the thickness to feet: 1/2 inch = 0.5 inches × (1 foot / 12 inches) = 0.04167 feet.
  2. Calculate the volume:
    • Volume = width × length × thickness = 1 ft × 2 ft × 0.04167 ft = 0.08334 cubic feet.

Since there are 100 pieces, the total volume of the aluminum is:

  • Total Volume = 100 pieces × 0.08334 cubic feet/piece = 8.334 cubic feet.

Next, to find the weight of the aluminum, we must know the weight of aluminum per cubic foot. The typical weight of aluminum is approximately 168.5 lbs per cubic foot. Therefore:

  • Weight of aluminum = Total Volume × Density = 8.334 cubic feet × 168.5 lbs/cubic foot =
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